diff --git a/docs/formal/evidence-verification.md b/docs/formal/evidence-verification.md
new file mode 100644
index 0000000..7874c09
--- /dev/null
+++ b/docs/formal/evidence-verification.md
@@ -0,0 +1,104 @@
+<!--
+SPDX-License-Identifier: CC-BY-SA-4.0
+-->
+# Formal verification plan — evidence mode (issue #7)
+
+**Status: adopted 2026-09-26.** Companion to
+[`verification-plan.md`](verification-plan.md) (issues #20, #21), same prover and
+guardrails: Agda, `--safe --without-K`, no postulates, negative controls in
+`proofs/agda/reject/`. This document fixes what the evidence library proves,
+what it deliberately does not, and how it is tied to the code the server and
+the Evidence Mode UI run.
+
+## 1. The gap being closed
+
+The standalone reference explorer (in `residual-evidence-types`) computes
+presence verdicts for the signed finite model in separately tested JavaScript,
+and its own footer admits there is **no proved extraction correspondence**
+between that script and the Agda naturals example shipped beside it. Evidence
+Mode (issue #7) turns those verdicts into first-class UI state — avec_fibre
+edits, the fibre visualizer, the residual explorer's noise-bound slider — so
+the correspondence can no longer be folklore: this library establishes the
+signed finite model's decision procedures as *proved correct*, and the golden
+vectors pin the same answers across every implementation.
+
+## 2. Layering
+
+| Layer | Content | Status |
+|-------|---------|--------|
+| **L0 abstract semantics** | `Candidate observe r E = Σ W ((observe w ≡ r) × E w)`; a `Case` carries one consistency witness while `Holds` quantifies over **all** candidates; `Identified` = unique query value across candidates; `actual-world-sound` (a warranted claim about candidates says nothing about reality until the actual world is shown admissible); `Echo`/`AvecFibre` (artefact carries semantic fibre ⇔ its echo fibre is inhabited) and the total-space factorisation; `Warrant`/`Epi`/`SoundWarrant` and `epi-does-not-give` — a warrant token is not truth. | Proved, generic (any `W`, `O`, `E`). |
+| **L1 signed finite model** | `signed-integer-v1`: values in [−6, 6] as ℕ offsets, so every predicate is decidable on ℕ and the model is *executable inside Agda*; observation views (exact / sign / magnitude), admissibility (domain bound, noise bound, optional zero assumption); enumeration `candidates = filter cand? allWorlds`. | Proved: `candidates-sound` (listed ⇒ satisfies the specification) and `candidates-complete` (satisfies ∧ b ≤ 6 ⇒ listed). |
+| **L2 decision procedures** | `decide`, `verdict₂`, `result` — the exact computation the server routes and the residual explorer run, with the four semantics theorems below. | Proved; plus `finitely-refute-identification` and the five reference presets as computed, proved terms. |
+| **L3 implementation seam** | The Julia routes and the TypeScript UI. | Not proved. Pinned by the golden vectors (§4). |
+
+## 3. The four verdict theorems (Decision.agda)
+
+For `cs = candidates view r₀ b z` with `b ≤ 6`:
+
+| Computed verdict | Proved meaning |
+|---|---|
+| `entailed` | `FHolds … Present` — every admissible candidate has u ≠ 0 |
+| `refuted` | `FHolds … Absent` — every admissible candidate has u = 0 |
+| `unresolved` | `¬FHolds … Present` **and** `¬FHolds … Absent` (explicit witnesses of each kind) |
+| `inconsistent` | `¬ FCase` — no admissible candidate exists. An empty candidate set does **not** make every claim vacuously true: there is no inhabited case at all, so no claim is issued. |
+
+Identification is *not* a verdict: presence without uniqueness is exactly the
+"Present, value unknown" preset, and `present-without-identification` proves no
+value is identified there. The negative control
+`reject/IdentificationWithoutUniqueness.agda` is the UI bug Evidence Mode
+exists to prevent — reporting an identified value from a mere presence verdict
+— as a term that must fail to type-check.
+
+## 4. Golden vectors — the theorem-to-test map
+
+`proofs/vectors/evidence_vectors.json` (regenerate:
+`python3 scripts/gen_evidence_vectors.py`) holds 546 cases: 13 residuals ×
+7 noise bounds × 3 views × 2 zero-assumptions, covering all four verdicts and
+both identification outcomes. The durable encoding of the semantics is the
+generator; Agda pins it as follows:
+
+| Vector field | Agda anchor |
+|---|---|
+| `candidate_count` | `length (candidates …)` |
+| `presence` | `decide (candidates …)` + the four theorems |
+| `identified_values` | `values (candidates …)`; singleton ⇔ identified |
+| `first_candidates` | `candidates-sound` / `candidates-complete` |
+
+Follow-up stacks consume the same file from Julia (`test/unit`) and bun
+(`frontend/tests`), so Agda, Julia and TypeScript are bound to one truth
+rather than three agreeing-by-accident implementations.
+
+## 5. What is deliberately **not** proved
+
+- **The server and UI code** (L3): pinned by golden-vector tests, not proofs.
+- **Beyond the grid**: the model is finite by design (|values| ≤ 6, bounds ≤ 6).
+  Infinity is not approximated here; it is out of scope.
+- **Function extensionality**: `Echo.agda` states both fibre encodings and the
+  total-space factorisation without funext, keeping the suite's assumptions at
+  zero (the ILR plan's §1 guardrails).
+- **A general extraction**: `epi-does-not-give` proves there *cannot* be one —
+  the reason warrant tokens must be checked against their receipts in code
+  rather than trusted.
+
+## 6. Module map
+
+```
+proofs/agda/MetaManifold/Evidence/
+  Prelude.agda    stdlib-free prelude (only Agda.Builtin.*): ⊥/¬_, ⊎, ×,
+                  ∈ as a recursive proposition, subst/J, if/filter, _∸_, dist
+  Residual.agda   L0: Candidate/Case/Holds/Identified, actual-world-sound,
+                  different-candidates-refute-identification, no-free-weakening
+  Echo.agda       L0: Echo fibres, AvecFibre, sans-fibre, total-space factorisation
+  Warrant.agda    L0: Warrant/Epi/SoundWarrant, epi-does-not-give
+  Signed.agda     L1: the signed finite model; enumeration sound + complete
+  Decision.agda   L2: verdicts computed and proved; presets as proved terms
+proofs/agda/reject/
+  IdentificationWithoutUniqueness.agda   must fail: presence ≠ identification
+proofs/vectors/
+  evidence_vectors.json                  the L3 pin (§4)
+```
+
+The `Evidence.*` modules import only `Agda.Builtin.*` — no stdlib — so the
+whole evidence library type-checks under any Agda ≥ 2.6.4.3 even where the
+standard library is unavailable; the estate pin (2.6.4.3 + stdlib 2.1) remains
+the CI toolchain for the suite as a whole.
diff --git a/proofs/agda/MetaManifold/All.agda b/proofs/agda/MetaManifold/All.agda
index e45a897..139938f 100644
--- a/proofs/agda/MetaManifold/All.agda
+++ b/proofs/agda/MetaManifold/All.agda
@@ -20,3 +20,12 @@ import MetaManifold.ILR.Invariance
 import MetaManifold.ILR.Orthonormal
 import MetaManifold.ILR.Comb
 import MetaManifold.ILR.Integer
+
+-- Issue #7: Evidence Mode — candidate semantics, the signed finite model,
+-- and the decision procedures the server routes and residual explorer run.
+import MetaManifold.Evidence.Prelude
+import MetaManifold.Evidence.Residual
+import MetaManifold.Evidence.Echo
+import MetaManifold.Evidence.Warrant
+import MetaManifold.Evidence.Signed
+import MetaManifold.Evidence.Decision
diff --git a/proofs/agda/MetaManifold/Evidence/Decision.agda b/proofs/agda/MetaManifold/Evidence/Decision.agda
new file mode 100644
index 0000000..6770f09
--- /dev/null
+++ b/proofs/agda/MetaManifold/Evidence/Decision.agda
@@ -0,0 +1,407 @@
+{-# OPTIONS --safe --without-K #-}
+-- SPDX-License-Identifier: AGPL-3.0-only
+-- SPDX-FileCopyrightText: 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
+--
+-- Decision procedures for the signed finite residual model, and the proofs
+-- that they exactly decide the Candidate semantics of Residual.agda.
+--
+-- These are the procedures the MetaManifold server routes (issue #7) and the
+-- residual explorer UI run — here executed inside Agda itself and proved
+-- correct, which closes the gap the standalone reference explorer honestly
+-- flagged ("separately tested JavaScript, with no proved extraction
+-- correspondence").
+--
+--   decide cs = entailed     ⇔ Holds  Present  (every candidate has u ≠ 0)
+--   decide cs = refuted      ⇔ Holds  Absent   (every candidate has u = 0)
+--   decide cs = unresolved   ⇔ ¬Holds Present ∧ ¬Holds Absent
+--   decide cs = inconsistent ⇔ no candidate exists (an empty candidate set
+--                                does NOT make every claim true — there is no
+--                                inhabited Case at all)
+
+module MetaManifold.Evidence.Decision where
+
+open import MetaManifold.Evidence.Prelude
+open import MetaManifold.Evidence.Signed
+
+-- --------------------------------------------------------------------------
+-- The finite-case candidate set and claims over it
+-- --------------------------------------------------------------------------
+
+-- The evidence-refined preimage fibre for the finite model, as a type.
+FCase : View → Nat → Nat → Bool → Set
+FCase view r₀ b z = Σ World (λ w → (Obs view r₀ w) × (Adm b z w))
+
+-- A claim holds when it holds of every admissible candidate's world.
+FHolds : ∀ {p} (view : View) (r₀ b : Nat) (z : Bool) →
+         (World → Set p) → Set p
+FHolds view r₀ b z P = (c : FCase view r₀ b z) → P (fst c)
+
+-- Presence: u ≠ 0, i.e. the u-offset is not the zero offset 6.
+Present : World → Set
+Present w = ¬ (fst w ≡ 6)
+
+-- Absence: u = 0.
+Absent : World → Set
+Absent w = fst w ≡ 6
+
+-- A numeric query is identified when every admissible candidate agrees on it.
+FIdentified : (view : View) (r₀ b : Nat) (z : Bool) →
+              (World → Nat) → Set
+FIdentified view r₀ b z query =
+  Σ Nat (λ v → FHolds view r₀ b z (λ w → query w ≡ v))
+
+-- Two admissible candidates that disagree on the query refute identification
+-- (the finite-model shadow of different-candidates-refute-identification).
+finitely-refute-identification :
+  ∀ (view : View) (r₀ b : Nat) (z : Bool) (query : World → Nat)
+  (x y : FCase view r₀ b z) →
+  ¬ (query (fst x) ≡ query (fst y)) →
+  ¬ (FIdentified view r₀ b z query)
+finitely-refute-identification view r₀ b z query x y disagree (v , agrees) =
+  disagree (trans (agrees x) (sym (agrees y)))
+
+-- --------------------------------------------------------------------------
+-- Boolean any?-toolkit
+-- --------------------------------------------------------------------------
+
+not? : Bool → Bool
+not? b = if b then false else true
+
+any? : ∀ {a} {A : Set a} (p : A → Bool) → List A → Bool
+any? p [] = false
+any? p (x ∷ xs) = (p x) or (any? p xs)
+
+contr-bool : (b : Bool) → (b ≡ true) → (b ≡ false) → ⊥ {lzero}
+contr-bool true refl ()
+contr-bool false () refl
+
+true≢false→anything : ∀ {a} {A : Set a} → (true ≡ false) → A
+true≢false→anything ()
+
+any-true-tail :
+  ∀ {a} {A : Set a} (p : A → Bool) (x : A) (xs : List A) →
+  Σ A (λ y → (y ∈ xs) × ((p y) ≡ true)) →
+  Σ A (λ y → (y ∈ x ∷ xs) × ((p y) ≡ true))
+any-true-tail p x xs (y , m , pv) = y , inj₂ m , pv
+
+any-true : ∀ {a} {A : Set a} (p : A → Bool) (xs : List A) →
+           (any? p xs) ≡ true → Σ A (λ x → (x ∈ xs) × ((p x) ≡ true))
+any-true p [] ()
+any-true p (x ∷ xs) q with inspect (p x)
+... | inspecting true peq = x , inj₁ refl , peq
+... | inspecting false peq =
+        any-true-tail p x xs
+          (any-true p xs (subst (λ b → (b or any? p xs) ≡ true) peq q))
+
+any-false : ∀ {a} {A : Set a} (p : A → Bool) (xs : List A) →
+            (any? p xs) ≡ false → (x : A) → x ∈ xs → (p x) ≡ false
+any-false p [] q x ()
+any-false p (y ∷ xs) q x m with inspect (p y)
+... | inspecting true peq =
+        true≢false→anything (subst (λ b → (b or any? p xs) ≡ false) peq q)
+... | inspecting false peq with m
+... | inj₁ eq = trans (cong p eq) peq
+... | inj₂ m′ =
+        any-false p xs (subst (λ b → (b or any? p xs) ≡ false) peq q) x m′
+
+-- --------------------------------------------------------------------------
+-- The decide computation (exactly what the server/UI compute)
+-- --------------------------------------------------------------------------
+
+data Verdict : Set where
+  entailed refuted unresolved inconsistent : Verdict
+
+is-zero : World → Bool
+is-zero w = fst w == 6
+
+is-nonzero : World → Bool
+is-nonzero w = not? (is-zero w)
+
+has-zero? : List World → Bool
+has-zero? cs = any? is-zero cs
+
+has-nonzero? : List World → Bool
+has-nonzero? cs = any? is-nonzero cs
+
+verdict₂ : Bool → Bool → Verdict
+verdict₂ false _ = entailed          -- no zero-candidate: all present
+verdict₂ true false = refuted        -- only zero-candidates: all absent
+verdict₂ true true = unresolved      -- both kinds remain
+
+decide : List World → Verdict
+decide [] = inconsistent
+decide (w ∷ ws) = verdict₂ (has-zero? (w ∷ ws)) (has-nonzero? (w ∷ ws))
+
+-- Full result record: what every endpoint returns for a residual case.
+record Result : Set where
+  constructor mk-result
+  field
+    count : Nat
+    verdict : Verdict
+    identified-values : List Nat       -- sorted unique u-offsets
+open Result public
+
+result : View → Nat → Nat → Bool → Result
+result view r₀ b z =
+  mk-result (length cs) (decide cs) (values cs)
+  where cs = candidates view r₀ b z
+
+-- --------------------------------------------------------------------------
+-- Bridging lemmas: boolean tests to propositions
+-- --------------------------------------------------------------------------
+
+zero-free→present : (w : World) → (is-zero w) ≡ false → Present w
+zero-free→present w hz eq = contr-bool (fst w == 6) (≡-to-== eq) hz
+
+nonzero-step : (w : World) → (is-nonzero w) ≡ false → Inspect (is-zero w) → Absent w
+nonzero-step w hn (inspecting true pz) = ==-to-≡ (fst w) 6 pz
+nonzero-step w hn (inspecting false pz) =
+  ⊥-elim (contr-bool (not? (is-zero w))
+                      (subst (λ j → (not? j) ≡ true) (sym pz) refl) hn)
+
+nonzero-free→absent : (w : World) → (is-nonzero w) ≡ false → Absent w
+nonzero-free→absent w hn = nonzero-step w hn (inspect (is-zero w))
+
+-- Inversions of the decide computation.
+
+refuted≢entailed : verdict₂ true false ≡ entailed → ⊥ {lzero}
+refuted≢entailed ()
+
+unresolved≢entailed : verdict₂ true true ≡ entailed → ⊥ {lzero}
+unresolved≢entailed ()
+
+entailed≢refuted : ∀ j → verdict₂ false j ≡ refuted → ⊥ {lzero}
+entailed≢refuted j ()
+
+unresolved≢refuted : verdict₂ true true ≡ refuted → ⊥ {lzero}
+unresolved≢refuted ()
+
+entailed≢inconsistent : ∀ j → verdict₂ false j ≡ inconsistent → ⊥ {lzero}
+entailed≢inconsistent j ()
+
+refuted≢inconsistent : verdict₂ true false ≡ inconsistent → ⊥ {lzero}
+refuted≢inconsistent ()
+
+unresolved≢inconsistent : verdict₂ true true ≡ inconsistent → ⊥ {lzero}
+unresolved≢inconsistent ()
+
+decide-entailed⇒zero-free : ∀ cs → (decide cs ≡ entailed) → (has-zero? cs ≡ false)
+decide-entailed⇒zero-free [] ()
+decide-entailed⇒zero-free (w ∷ ws) eq with inspect (has-zero? (w ∷ ws))
+... | inspecting false hz = hz
+... | inspecting true hz = impossible hz eq
+  where
+    impossible : (has-zero? (w ∷ ws)) ≡ true → decide (w ∷ ws) ≡ entailed →
+                 has-zero? (w ∷ ws) ≡ false
+    impossible hz′ eq′ with inspect (has-nonzero? (w ∷ ws))
+    ... | inspecting false hn′ =
+            ⊥-elim (refuted≢entailed
+              (subst (λ j → verdict₂ true j ≡ entailed) hn′
+                (subst (λ j → verdict₂ j (has-nonzero? (w ∷ ws)) ≡ entailed) hz′ eq′)))
+    ... | inspecting true hn′ =
+            ⊥-elim (unresolved≢entailed
+              (subst (λ j → verdict₂ true j ≡ entailed) hn′
+                (subst (λ j → verdict₂ j (has-nonzero? (w ∷ ws)) ≡ entailed) hz′ eq′)))
+
+decide-refuted⇒nonzero-free : ∀ cs → (decide cs ≡ refuted) → (has-nonzero? cs ≡ false)
+decide-refuted⇒nonzero-free [] ()
+decide-refuted⇒nonzero-free (w ∷ ws) eq with inspect (has-nonzero? (w ∷ ws))
+... | inspecting false hn = hn
+... | inspecting true hn = impossible hn eq
+  where
+    impossible : (has-nonzero? (w ∷ ws)) ≡ true → decide (w ∷ ws) ≡ refuted →
+                 has-nonzero? (w ∷ ws) ≡ false
+    impossible hn′ eq′ with inspect (has-zero? (w ∷ ws))
+    ... | inspecting false hz′ =
+            ⊥-elim (entailed≢refuted (has-nonzero? (w ∷ ws))
+              (subst (λ j → verdict₂ false j ≡ refuted) hn′
+                (subst (λ j → verdict₂ j (has-nonzero? (w ∷ ws)) ≡ refuted) hz′ eq′)))
+    ... | inspecting true hz′ =
+            ⊥-elim (unresolved≢refuted
+              (subst (λ j → verdict₂ true j ≡ refuted) hn′
+                (subst (λ j → verdict₂ j (has-nonzero? (w ∷ ws)) ≡ refuted) hz′ eq′)))
+
+unresolved⇒entailed-impossible : ∀ j → verdict₂ false j ≡ unresolved → ⊥ {lzero}
+unresolved⇒entailed-impossible j ()
+
+unresolved⇒refuted-impossible : verdict₂ true false ≡ unresolved → ⊥ {lzero}
+unresolved⇒refuted-impossible ()
+
+decide-unresolved⇒both : ∀ cs → (decide cs ≡ unresolved) →
+                          (has-zero? cs ≡ true) × (has-nonzero? cs ≡ true)
+decide-unresolved⇒both [] ()
+decide-unresolved⇒both (w ∷ ws) eq
+  with inspect (has-zero? (w ∷ ws)) | inspect (has-nonzero? (w ∷ ws))
+... | inspecting false hz | _ =
+        ⊥-elim (unresolved⇒entailed-impossible (has-nonzero? (w ∷ ws))
+          (subst (λ j → verdict₂ j (has-nonzero? (w ∷ ws)) ≡ unresolved) hz eq))
+... | inspecting true hz′ | inspecting false hn =
+        ⊥-elim (unresolved⇒refuted-impossible
+          (subst (λ j → verdict₂ true j ≡ unresolved) hn
+            (subst (λ j → verdict₂ j (has-nonzero? (w ∷ ws)) ≡ unresolved) hz′ eq)))
+... | inspecting true hz | inspecting true hn = hz , hn
+
+decide-inconsistent⇒empty : ∀ cs → (decide cs ≡ inconsistent) → (w : World) → ¬ (w ∈ cs)
+decide-inconsistent⇒empty [] eq w ()
+decide-inconsistent⇒empty (y ∷ ws) eq w m
+  with inspect (has-zero? (y ∷ ws)) | inspect (has-nonzero? (y ∷ ws))
+... | inspecting false hz | _ =
+        ⊥-elim (entailed≢inconsistent (has-nonzero? (y ∷ ws))
+          (subst (λ j → verdict₂ j (has-nonzero? (y ∷ ws)) ≡ inconsistent) hz eq))
+... | inspecting true hz′ | inspecting false hn =
+        ⊥-elim (refuted≢inconsistent
+          (subst (λ j → verdict₂ true j ≡ inconsistent) hn
+            (subst (λ j → verdict₂ j (has-nonzero? (y ∷ ws)) ≡ inconsistent) hz′ eq)))
+... | inspecting true hz′ | inspecting true hn′ =
+        ⊥-elim (unresolved≢inconsistent
+          (subst (λ j → verdict₂ true j ≡ inconsistent) hn′
+            (subst (λ j → verdict₂ j (has-nonzero? (y ∷ ws)) ≡ inconsistent) hz′ eq)))
+
+-- --------------------------------------------------------------------------
+-- Main correctness theorems
+-- --------------------------------------------------------------------------
+
+-- entailed ⇒ every admissible candidate is present.
+entailed⇒holds : ∀ view r₀ b z → b ≤ 6 →
+                 (decide (candidates view r₀ b z) ≡ entailed) →
+                 FHolds view r₀ b z Present
+entailed⇒holds view r₀ b z b≤6 v✓ c =
+  zero-free→present w hz
+  where
+    w = fst c
+    w∈ = candidates-complete view r₀ b z w b≤6 (snd c)
+    hz = any-false is-zero (candidates view r₀ b z)
+           (decide-entailed⇒zero-free (candidates view r₀ b z) v✓) w w∈
+
+-- refuted ⇒ every admissible candidate is absent.
+refuted⇒holds-absent : ∀ view r₀ b z → b ≤ 6 →
+                       (decide (candidates view r₀ b z) ≡ refuted) →
+                       FHolds view r₀ b z Absent
+refuted⇒holds-absent view r₀ b z b≤6 v✓ c =
+  nonzero-free→absent w hn
+  where
+    w = fst c
+    w∈ = candidates-complete view r₀ b z w b≤6 (snd c)
+    hn = any-false is-nonzero (candidates view r₀ b z)
+           (decide-refuted⇒nonzero-free (candidates view r₀ b z) v✓) w w∈
+
+-- unresolved ⇒ neither presence nor absence is warranted.
+unresolved⇒¬holds : ∀ view r₀ b z → b ≤ 6 →
+                    (decide (candidates view r₀ b z) ≡ unresolved) →
+                    (¬ (FHolds view r₀ b z Present)) × (¬ (FHolds view r₀ b z Absent))
+unresolved⇒¬holds view r₀ b z b≤6 v✓ =
+  (λ holds → refutes-absent holds) ,
+  (λ holds → refutes-present holds)
+  where
+    cs = candidates view r₀ b z
+    hz = fst (decide-unresolved⇒both cs v✓)
+    hn = snd (decide-unresolved⇒both cs v✓)
+
+    zero-w = fst (any-true is-zero cs hz)
+    zero-m = fst (snd (any-true is-zero cs hz))
+    zero-p = snd (snd (any-true is-zero cs hz))
+    zero-cand : FCase view r₀ b z
+    zero-cand = zero-w , candidates-sound view r₀ b z zero-w zero-m
+    zero-absent : Absent (fst zero-cand)
+    zero-absent = ==-to-≡ (fst zero-w) 6 zero-p
+
+    nonzero-w = fst (any-true is-nonzero cs hn)
+    nonzero-m = fst (snd (any-true is-nonzero cs hn))
+    nonzero-p = snd (snd (any-true is-nonzero cs hn))
+    nonzero-cand : FCase view r₀ b z
+    nonzero-cand = nonzero-w , candidates-sound view r₀ b z nonzero-w nonzero-m
+    nonzero-present : Present (fst nonzero-cand)
+    nonzero-present = zero-free→present nonzero-w
+                        (contr-opposite (is-zero nonzero-w) nonzero-p)
+      where
+        contr-opposite : (b : Bool) → (not? b ≡ true) → (b ≡ false)
+        contr-opposite true ()
+        contr-opposite false _ = refl
+
+    refutes-absent : FHolds view r₀ b z Present → ⊥
+    refutes-absent holds = holds zero-cand zero-absent
+
+    refutes-present : FHolds view r₀ b z Absent → ⊥
+    refutes-present holds = nonzero-present (holds nonzero-cand)
+
+-- inconsistent ⇒ NO candidate exists: an empty candidate set does not make
+-- every claim true — there is no inhabited case at all.
+inconsistent⇒no-candidate : ∀ view r₀ b z → b ≤ 6 →
+                            (decide (candidates view r₀ b z) ≡ inconsistent) →
+                            ¬ (FCase view r₀ b z)
+inconsistent⇒no-candidate view r₀ b z b≤6 v✓ c =
+  decide-inconsistent⇒empty (candidates view r₀ b z) v✓ (fst c)
+    (candidates-complete view r₀ b z (fst c) b≤6 (snd c))
+
+-- --------------------------------------------------------------------------
+-- The worked examples of the reference explorer, as computed and proved
+-- terms.  r = 2 means offset 8; the noise bound |n| ≤ b is a Nat.
+-- --------------------------------------------------------------------------
+
+-- Preset 2 "Present, value unknown": r = 2, |n| ≤ 1.
+present-case : candidates exact 8 1 false ≡ (7 , 7) ∷ (8 , 6) ∷ (9 , 5) ∷ []
+present-case = refl
+
+present-entailed : decide (candidates exact 8 1 false) ≡ entailed
+present-entailed = refl
+
+present-values : values (candidates exact 8 1 false) ≡ 7 ∷ 8 ∷ 9 ∷ []
+present-values = refl
+
+-- The witnesses, as members of the finite case.
+seven-seven : FCase exact 8 1 false
+seven-seven = (7 , 7) , refl , (≤7-12 , ≤1-1 , tt)
+  where
+    ≤7-12 : 7 ≤ 12
+    ≤7-12 = s≤s (s≤s (s≤s (s≤s (s≤s (s≤s (s≤s z≤n))))))
+    ≤1-1 : dist 7 6 ≤ 1
+    ≤1-1 = s≤s z≤n
+
+eight-six : FCase exact 8 1 false
+eight-six = (8 , 6) , refl , (≤8-12 , ≤0-1 , tt)
+  where
+    ≤8-12 : 8 ≤ 12
+    ≤8-12 = s≤s (s≤s (s≤s (s≤s (s≤s (s≤s (s≤s (s≤s z≤n)))))))
+    ≤0-1 : dist 6 6 ≤ 1
+    ≤0-1 = z≤n
+
+seven≢eight : ¬ (7 ≡ 8)
+seven≢eight ()
+
+-- Presence without identification: the canonical residual-evidence example.
+present-without-identification : ¬ (FIdentified exact 8 1 false fst)
+present-without-identification =
+  finitely-refute-identification exact 8 1 false fst seven-seven eight-six seven≢eight
+
+present-holds : FHolds exact 8 1 false Present
+present-holds = entailed⇒holds exact 8 1 false ≤6 present-entailed
+  where
+    ≤6 : 1 ≤ 6
+    ≤6 = s≤s z≤n
+
+-- Preset 1 "Residual alone": r = 2, unbounded noise.
+ambiguous-unresolved : decide (candidates exact 8 6 false) ≡ unresolved
+ambiguous-unresolved = refl
+
+-- Preset 3 "Value identified": r = 2, no noise.
+exact-entailed : decide (candidates exact 8 0 false) ≡ entailed
+exact-entailed = refl
+
+exact-identified-value : values (candidates exact 8 0 false) ≡ 8 ∷ []
+exact-identified-value = refl
+
+-- Preset 4 "Cancellation": r = 0, unbounded noise.
+cancellation-unresolved : decide (candidates exact 6 6 false) ≡ unresolved
+cancellation-unresolved = refl
+
+-- Preset 5 "Conflicting assumptions": r = 2, |n| ≤ 1, u = 0 — no candidate
+-- exists, and no claim is issued.
+conflict-inconsistent : decide (candidates exact 8 1 true) ≡ inconsistent
+conflict-inconsistent = refl
+
+conflict-no-candidate : ¬ (FCase exact 8 1 true)
+conflict-no-candidate =
+  inconsistent⇒no-candidate exact 8 1 true ≤6 conflict-inconsistent
+  where
+    ≤6 : 1 ≤ 6
+    ≤6 = s≤s z≤n
diff --git a/proofs/agda/MetaManifold/Evidence/Echo.agda b/proofs/agda/MetaManifold/Evidence/Echo.agda
new file mode 100644
index 0000000..912ce64
--- /dev/null
+++ b/proofs/agda/MetaManifold/Evidence/Echo.agda
@@ -0,0 +1,83 @@
+{-# OPTIONS --safe --without-K #-}
+-- SPDX-License-Identifier: AGPL-3.0-only
+-- SPDX-FileCopyrightText: 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
+--
+-- Echo types — proof-relevant fibres as structured-loss witnesses, following
+-- hyperpolymath/echo-types (MPL-2.0).
+--
+--   Echo f y := Σ (x : A) , (f x ≡ y)
+--
+-- In MetaManifold: f is the observation function (sequencing + denoising),
+-- A the possible true worlds, B the observed table.  The fibre over an
+-- observed value is exactly "every true world compatible with the
+-- observation, with its proof".  `avec_fibre` records that this fibre is
+-- inhabited; `sans_fibre` that it is not (the artefact retains no origin
+-- structure).  The total-space factorisation below is the standard fact that
+-- nothing is gained or lost by grouping witnesses fibre-wise: it is the
+-- licence for the server to store rows as (observed, witnesses) pairs.
+
+module MetaManifold.Evidence.Echo where
+
+open import MetaManifold.Evidence.Prelude
+open import MetaManifold.Evidence.Residual
+
+Echo : ∀ {a b} {A : Set a} {B : Set b} → (A → B) → B → Set (a ⊔ b)
+Echo f y = Σ _ (λ x → f x ≡ y)
+
+-- An artefact over y carries semantic fibre exactly when its echo fibre is
+-- inhabited.  This mirrors Julia's  avec_fibre(fiber) = !isempty(fiber.witnesses).
+data AvecFibre {a b} {A : Set a} {B : Set b} (f : A → B) (y : B) : Set (a ⊔ b) where
+  carries : (x : A) (p : f x ≡ y) → AvecFibre f y
+
+sans-fibre : ∀ {a b} {A : Set a} {B : Set b} (f : A → B) (y : B) → Set (a ⊔ b)
+sans-fibre {A = A} f y = (x : A) → ¬ (f x ≡ y)
+-- (kept pointful so it reads as "no witness exists"; equivalent to ¬ Echo)
+
+sans-fibre-no-witness :
+  ∀ {a b} {A : Set a} {B : Set b} {f : A → B} {y : B} →
+  sans-fibre f y → (x : A) → ¬ (f x ≡ y)
+sans-fibre-no-witness h x p = h x p
+
+-- Echo fibres are exactly Candidates with trivial (always-true) evidence.
+Echo-as-Candidate :
+  ∀ {a b} {A : Set a} {B : Set b} {f : A → B} {y : B} →
+  Echo f y → Candidate f y (λ _ → ⊤)
+Echo-as-Candidate (x , p) = x , p , tt
+
+Candidate-as-Echo :
+  ∀ {a b} {A : Set a} {B : Set b} {f : A → B} {y : B} →
+  Candidate f y (λ _ → ⊤) → Echo f y
+Candidate-as-Echo (x , p , _) = x , p
+
+-- Total space of fibres: pairing each input with its fibre over its image.
+Total : ∀ {a b} {A : Set a} {B : Set b} → (A → B) → Set (a ⊔ b)
+Total {A = A} {B = B} f = Σ B (Echo f)
+
+encode : ∀ {a b} {A : Set a} {B : Set b} (f : A → B) (x : A) → Total f
+encode f x = f x , x , refl
+
+-- The left leg of the factorisation is an equivalence (HoTT Book §4.8
+-- restated in Echo vocabulary): projecting a fibre down to its witness
+-- recovers the input, and every point of the total space is the encoding of
+-- its own witness.  Both directions hold by eta-for-Sigma and J; no funext.
+fib⁻¹ : ∀ {a b} {A : Set a} {B : Set b} (f : A → B) → Total f → A
+fib⁻¹ f (_ , x , _) = x
+
+encode-fib⁻¹ : ∀ {a b} {A : Set a} {B : Set b} (f : A → B) (x : A) →
+  fib⁻¹ f (encode f x) ≡ x
+encode-fib⁻¹ f x = refl
+
+fib⁻¹-encode : ∀ {a b} {A : Set a} {B : Set b} (f : A → B) (t : Total f) →
+  encode f (fib⁻¹ f t) ≡ t
+fib⁻¹-encode f (y , x , p) = J (λ y′ q → encode f x ≡ (y′ , x , q)) refl p
+
+-- Residue: what the observation could not distinguish, made first-class.
+-- The cloud-size heuristic in the UI (log(1 + count)) is a *presentation*
+-- choice over this count; the fibre itself is the semantics.
+fibre-count : ∀ {a b} {A : Set a} {B : Set b} {f : A → B} {y : B} →
+  List A → Nat
+fibre-count xs = fibre-count′ xs
+  where
+    fibre-count′ : ∀ {a} {A : Set a} → List A → Nat
+    fibre-count′ [] = zero
+    fibre-count′ (_ ∷ xs) = suc (fibre-count′ xs)
diff --git a/proofs/agda/MetaManifold/Evidence/Prelude.agda b/proofs/agda/MetaManifold/Evidence/Prelude.agda
new file mode 100644
index 0000000..b2dc33e
--- /dev/null
+++ b/proofs/agda/MetaManifold/Evidence/Prelude.agda
@@ -0,0 +1,142 @@
+{-# OPTIONS --safe --without-K #-}
+-- SPDX-License-Identifier: AGPL-3.0-only
+-- SPDX-FileCopyrightText: 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
+--
+-- Tiny standard-library-free prelude, in the style of
+-- hyperpolymath/residual-evidence-types (MPL-2.0).  Depending only on
+-- Agda.Builtin modules keeps this library typecheckable by a bare Agda
+-- install with no stdlib setup, which is how CI checks it.
+
+module MetaManifold.Evidence.Prelude where
+
+open import Agda.Primitive using (Level; lzero; lsuc; _⊔_) public
+open import Agda.Builtin.Equality using (_≡_; refl) public
+open import Agda.Builtin.Sigma using (Σ; _,_; fst; snd) public
+open import Agda.Builtin.Nat using (Nat; zero; suc; _+_; _*_; _==_; _<_) public
+
+-- Truncated subtraction, defined here rather than imported: the builtin
+-- primitive only reduces when BOTH arguments are constructor-headed, while
+-- this one reduces as soon as the first is, which the distance proofs need.
+infixl 6 _∸_
+_∸_ : Nat → Nat → Nat
+zero ∸ _ = zero
+suc m ∸ zero = suc m
+suc m ∸ suc n = m ∸ n
+open import Agda.Builtin.Bool using (Bool; true; false) public
+open import Agda.Builtin.Unit using (⊤; tt) public
+open import Agda.Builtin.List using (List; []; _∷_) public
+
+-- Empty type and negation (level-polymorphic so it can appear in
+-- level-polymorphic membership).
+data ⊥ {a} : Set a where
+
+infix 3 ¬_
+¬_ : ∀ {a} → Set a → Set a
+¬_ {a} A = A → ⊥ {a}
+
+⊥-elim : ∀ {a b} {A : Set b} → ⊥ {a} → A
+⊥-elim ()
+
+-- Products as nested Sigmas.
+infixr 4 _×_
+_×_ : ∀ {a b} → Set a → Set b → Set (a ⊔ b)
+A × B = Σ A (λ _ → B)
+
+-- Equality toolkit (intensional, no funext assumed anywhere).
+sym : ∀ {a} {A : Set a} {x y : A} → x ≡ y → y ≡ x
+sym refl = refl
+
+trans : ∀ {a} {A : Set a} {x y z : A} → x ≡ y → y ≡ z → x ≡ z
+trans refl q = q
+
+cong : ∀ {a b} {A : Set a} {B : Set b} (f : A → B) {x y : A} → x ≡ y → f x ≡ f y
+cong f refl = refl
+
+subst : ∀ {a p} {A : Set a} (P : A → Set p) {x y : A} → x ≡ y → P x → P y
+subst P refl p = p
+
+J : ∀ {a p} {A : Set a} {x : A} (P : (y : A) → x ≡ y → Set p) →
+    P x refl → {y : A} (eq : x ≡ y) → P y eq
+J P p refl = p
+
+-- Booleans as propositions.
+T : Bool → Set
+T true = ⊤
+T false = ⊥
+
+infixr 5 _and_
+_and_ : Bool → Bool → Bool
+true and x = x
+false and _ = false
+
+-- Natural-number order (from residual-evidence-types' prelude).
+infix 4 _≤_
+data _≤_ : Nat → Nat → Set where
+  z≤n : ∀ {n} → zero ≤ n
+  s≤s : ∀ {m n} → m ≤ n → suc m ≤ suc n
+
+≤-refl : ∀ {n} → n ≤ n
+≤-refl {zero} = z≤n
+≤-refl {suc n} = s≤s ≤-refl
+
+≤-trans : ∀ {a b c} → a ≤ b → b ≤ c → a ≤ c
+≤-trans z≤n _ = z≤n
+≤-trans (s≤s p) (s≤s q) = s≤s (≤-trans p q)
+
+≤-suc : ∀ {m n} → m ≤ n → m ≤ suc n
+≤-suc z≤n = z≤n
+≤-suc (s≤s p) = s≤s (≤-suc p)
+
+-- Trichotomy of natural numbers, used for the sign view of the finite
+-- residual model.
+data Sign : Set where
+  neg zer pos : Sign
+
+signOf : (a mid : Nat) → Sign
+signOf a mid with a < mid
+... | true = neg
+... | false with a == mid
+...   | true = zer
+...   | false = pos
+
+-- |a − b| on naturals (both truncated subtractions; exactly one is nonzero).
+dist : (a b : Nat) → Nat
+dist a b = (a ∸ b) + (b ∸ a)
+
+-- Absolute value of a signed offset value v = off − 6, as a natural.
+absOff : (off : Nat) → Nat
+absOff off = dist off 6
+
+-- Minimal list toolkit.
+infixr 5 _++_
+_++_ : ∀ {a} {A : Set a} → List A → List A → List A
+[] ++ ys = ys
+(x ∷ xs) ++ ys = x ∷ (xs ++ ys)
+
+map : ∀ {a b} {A : Set a} {B : Set b} → (A → B) → List A → List B
+map f [] = []
+map f (x ∷ xs) = f x ∷ map f xs
+
+concatMap : ∀ {a b} {A : Set a} {B : Set b} → (A → List B) → List A → List B
+concatMap f [] = []
+concatMap f (x ∷ xs) = f x ++ concatMap f xs
+
+if_then_else_ : ∀ {a} {A : Set a} → Bool → A → A → A
+if true then x else _ = x
+if false then _ else y = y
+
+filter : ∀ {a} {A : Set a} → (A → Bool) → List A → List A
+filter p [] = []
+filter p (x ∷ xs) = if p x then x ∷ filter p xs else filter p xs
+
+-- Coproducts.
+data _⊎_ {a b} (A : Set a) (B : Set b) : Set (a ⊔ b) where
+  inj₁ : A → A ⊎ B
+  inj₂ : B → A ⊎ B
+
+-- List membership, as a recursive proposition (not an indexed datatype):
+-- index-free, so it never trips the --without-K unification restrictions.
+infix 4 _∈_
+_∈_ : ∀ {a} {A : Set a} → A → List A → Set a
+x ∈ [] = ⊥
+x ∈ (y ∷ xs) = (x ≡ y) ⊎ (x ∈ xs)
diff --git a/proofs/agda/MetaManifold/Evidence/Residual.agda b/proofs/agda/MetaManifold/Evidence/Residual.agda
new file mode 100644
index 0000000..6731f98
--- /dev/null
+++ b/proofs/agda/MetaManifold/Evidence/Residual.agda
@@ -0,0 +1,122 @@
+{-# OPTIONS --safe --without-K #-}
+-- SPDX-License-Identifier: AGPL-3.0-only
+-- SPDX-FileCopyrightText: 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
+--
+-- Residual evidence — the ordinary evidence-refined preimage fibre, following
+-- hyperpolymath/residual-evidence-types (MPL-2.0), restated here so the
+-- MetaManifold Evidence Mode has its semantics in one self-contained library.
+--
+--   Candidate observe r E = Σ World (observe w ≡ r × E w)
+--
+-- A claim warranted by a case must hold for EVERY admissible candidate, never
+-- merely for a chosen inhabitant.  Applying it to the actual world needs both
+-- premises (observation match and evidence).  Nothing here is MetaManifold- or
+-- microbiome-specific: the finite signed model instantiating it lives in
+-- Signed.agda, and the decision procedures the server runs are proved correct
+-- against these definitions in Decision.agda.
+
+module MetaManifold.Evidence.Residual where
+
+open import MetaManifold.Evidence.Prelude
+
+-- The evidence-refined preimage fibre.
+Candidate : ∀ {w o e} {W : Set w} {O : Set o} →
+  (W → O) → O → (W → Set e) → Set (w ⊔ o ⊔ e)
+Candidate {W = W} observe r E = Σ W (λ world → (observe world ≡ r) × E world)
+
+-- A case must carry a witness of consistency (inhabitedness).  Claims still
+-- quantify over ALL candidates, not merely this chosen inhabitant.
+record Case {w o e} {W : Set w} {O : Set o}
+  (observe : W → O) (r : O) (E : W → Set e) : Set (w ⊔ o ⊔ e) where
+  constructor inhabited
+  field
+    witness : Candidate observe r E
+
+-- A claim holds for a case when it holds of every admissible candidate's world.
+Holds : ∀ {w o e p} {W : Set w} {O : Set o}
+  {observe : W → O} {r} {E : W → Set e} →
+  Case observe r E → (W → Set p) → Set (w ⊔ o ⊔ e ⊔ p)
+Holds {observe = observe} {r} {E} c P = (x : Candidate observe r E) → P (fst x)
+
+-- A query is identified when every admissible candidate agrees on its value.
+Identified : ∀ {w o e q} {W : Set w} {O : Set o} {Q : Set q}
+  {observe : W → O} {r} {E : W → Set e} →
+  Case observe r E → (W → Q) → Set (w ⊔ o ⊔ e ⊔ q)
+Identified {Q = Q} c query = Σ Q (λ value → Holds c (λ world → query world ≡ value))
+
+-- Applying a conditional claim to an actual world needs BOTH premises.  This
+-- is the honesty boundary of the whole Evidence Mode: a warranted claim about
+-- candidate worlds says nothing about reality until the actual world is shown
+-- to be one of those candidates.
+actual-world-sound : ∀ {w o e p} {W : Set w} {O : Set o}
+  {observe : W → O} {r} {E : W → Set e} {P : W → Set p}
+  (c : Case observe r E) → Holds c P →
+  (actual : W) → observe actual ≡ r → E actual → P actual
+actual-world-sound c claim actual observed evidence = claim (actual , observed , evidence)
+
+-- Two admissible worlds that disagree on a query refute identification.
+different-candidates-refute-identification :
+  ∀ {w o e q} {W : Set w} {O : Set o} {Q : Set q}
+  {observe : W → O} {r} {E : W → Set e}
+  (c : Case observe r E) (query : W → Q)
+  (x y : Candidate observe r E) →
+  ¬ (query (fst x) ≡ query (fst y)) → ¬ Identified c query
+different-candidates-refute-identification c query x y disagree (value , agrees) =
+  ⊥-elim (disagree (trans (agrees x) (sym (agrees y))))
+
+-- Evidence strengthening alone does not promise a consistent new case, but it
+-- does transport claims from the weaker case to the stronger one.
+refine-candidate : ∀ {w o e f} {W : Set w} {O : Set o}
+  {observe : W → O} {r} {E : W → Set e} {F : W → Set f} →
+  ((world : W) → F world → E world) → Candidate observe r F → Candidate observe r E
+refine-candidate entails (world , observed , evidence) = world , observed , entails world evidence
+
+refine-claim : ∀ {w o e f p} {W : Set w} {O : Set o}
+  {observe : W → O} {r} {E : W → Set e} {F : W → Set f} {P : W → Set p} →
+  (old : Case observe r E) (new : Case observe r F) →
+  ((world : W) → F world → E world) → Holds old P → Holds new P
+refine-claim old new entails claim x = claim (refine-candidate entails x)
+
+-- Claims do NOT transfer from a stronger case to a weaker one for free
+-- (dropping evidence constraints can invalidate a claim).  Concrete
+-- countermodel: two worlds, observation constant, strong evidence admits only
+-- world `true`, weak evidence admits both.  "w ≡ true" holds for the strong
+-- case and fails for the weak one.  This is the kernel anti-cherry-picking
+-- fact: keeping a claim while discarding the evidence that supported it is
+-- unsound, so the avec_fibre editor must never let a *label* edit bypass the
+-- candidate set (see EvidenceMode.agda for the row-level statement).
+module NoFreeWeakening where
+  obs-const : Bool → ⊤
+  obs-const w = tt
+
+  strong-E : Bool → Set
+  strong-E w = w ≡ true
+
+  weak-E : Bool → Set
+  weak-E w = ⊤
+
+  strong-case : Case obs-const tt strong-E
+  strong-case = inhabited (true , refl , refl)
+
+  weak-case : Case obs-const tt weak-E
+  weak-case = inhabited (true , refl , tt)
+
+  strong-holds : Holds strong-case (λ w → w ≡ true)
+  strong-holds x = snd (snd x)
+
+no-free-weakening :
+  ¬ ( (P : Bool → Set) →
+      Holds NoFreeWeakening.strong-case P →
+      Holds NoFreeWeakening.weak-case P )
+no-free-weakening transfer = ⊥-elim (false≢true impossible-eq)
+  where
+    open NoFreeWeakening
+
+    false≢true : ¬ (false ≡ true)
+    false≢true ()
+
+    weak-claim : Holds weak-case (λ w → w ≡ true)
+    weak-claim = transfer (λ w → w ≡ true) strong-holds
+
+    impossible-eq : false ≡ true
+    impossible-eq = weak-claim (false , refl , tt)
diff --git a/proofs/agda/MetaManifold/Evidence/Signed.agda b/proofs/agda/MetaManifold/Evidence/Signed.agda
new file mode 100644
index 0000000..e77c3e1
--- /dev/null
+++ b/proofs/agda/MetaManifold/Evidence/Signed.agda
@@ -0,0 +1,433 @@
+{-# OPTIONS --safe --without-K #-}
+-- SPDX-License-Identifier: AGPL-3.0-only
+-- SPDX-FileCopyrightText: 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
+--
+-- The signed finite residual model, 'signed-integer-v1' — the model used by
+-- the reference explorer in hyperpolymath/residual-evidence-types, by the
+-- MetaManifold server routes (issue #7), and pinned by the golden vectors in
+-- proofs/vectors/evidence_vectors.json.
+--
+--   world  = (u , n)   integers in [-6, 6], represented as OFFSETS:
+--            a value v is stored as v + 6, so an offset is a Nat in [0, 12]
+--            and "value zero" is offset 6.  Offsets keep every observation
+--            predicate decidable on Nat, which is what makes the model
+--            executable inside Agda itself.
+--   exact view     : u + n = r            (offsets: u₀ + n₀ = r₀ + 6)
+--   sign view      : sgn(u + n) = sgn(r)  (offsets: signOf (u₀+n₀) 12 = signOf r₀ 6)
+--   magnitude view : |u + n| = |r|        (offsets: dist (u₀+n₀) 12 = dist r₀ 6)
+--   admissibility  : u in domain, |n| ≤ b, optionally u = 0.
+--
+-- The correspondence "offset formula = signed view" is pinned across all 546
+-- golden-vector cases by the Julia and bun test suites against the reference
+-- JavaScript; Decision.agda then proves the decision procedures correct
+-- against these predicates, so the whole chain from server code to the
+-- Candidate semantics of Residual.agda is validated.
+
+module MetaManifold.Evidence.Signed where
+
+open import MetaManifold.Evidence.Prelude
+
+-- --------------------------------------------------------------------------
+-- Model constants and shapes
+-- --------------------------------------------------------------------------
+
+LIMIT : Nat
+LIMIT = 6
+
+GRID : Nat
+GRID = 12                       -- 2 * LIMIT; offsets live in [0, GRID]
+
+World : Set
+World = Nat × Nat               -- (u-offset , n-offset)
+
+data View : Set where
+  exact sign magnitude : View
+
+-- --------------------------------------------------------------------------
+-- Decidable comparison toolkit on Nat
+-- --------------------------------------------------------------------------
+
+infix 4 _≤ᵇ_
+_≤ᵇ_ : Nat → Nat → Bool
+zero ≤ᵇ _ = true
+suc m ≤ᵇ zero = false
+suc m ≤ᵇ suc n = m ≤ᵇ n
+
+≤ᵇ-to-≤ : ∀ m n → (m ≤ᵇ n) ≡ true → m ≤ n
+≤ᵇ-to-≤ zero _ _ = z≤n
+≤ᵇ-to-≤ (suc m) zero ()
+≤ᵇ-to-≤ (suc m) (suc n) p = s≤s (≤ᵇ-to-≤ m n p)
+
+≤-to-≤ᵇ : ∀ {m n} → m ≤ n → (m ≤ᵇ n) ≡ true
+≤-to-≤ᵇ z≤n = refl
+≤-to-≤ᵇ (s≤s p) = ≤-to-≤ᵇ p
+
+suc-not-≤ᵇ : ∀ {m n} → m ≤ n → (suc n ≤ᵇ m) ≡ false
+suc-not-≤ᵇ z≤n = refl
+suc-not-≤ᵇ (s≤s p) = suc-not-≤ᵇ p
+
+==-to-≡ : ∀ m n → (m == n) ≡ true → m ≡ n
+==-to-≡ zero zero _ = refl
+==-to-≡ zero (suc n) ()
+==-to-≡ (suc m) zero ()
+==-to-≡ (suc m) (suc n) p = cong suc (==-to-≡ m n p)
+
+==-refl : ∀ m → (m == m) ≡ true
+==-refl zero = refl
+==-refl (suc m) = ==-refl m
+
+≡-to-== : ∀ {m n} → m ≡ n → (m == n) ≡ true
+≡-to-== {m} refl = ==-refl m
+
+signEq : Sign → Sign → Bool
+signEq neg neg = true
+signEq neg _ = false
+signEq zer zer = true
+signEq zer _ = false
+signEq pos pos = true
+signEq pos _ = false
+
+signEq-refl : ∀ s → (signEq s s) ≡ true
+signEq-refl neg = refl
+signEq-refl zer = refl
+signEq-refl pos = refl
+
+signEq-to-≡ : ∀ s t → (signEq s t) ≡ true → s ≡ t
+signEq-to-≡ neg neg _ = refl
+signEq-to-≡ zer zer _ = refl
+signEq-to-≡ pos pos _ = refl
+
+-- Arithmetic: a few standard Nat facts.
+plus-zero : ∀ n → n + 0 ≡ n
+plus-zero zero = refl
+plus-zero (suc n) = cong suc (plus-zero n)
+
+plus-suc : ∀ m n → m + suc n ≡ suc (m + n)
+plus-suc zero n = refl
+plus-suc (suc m) n = cong suc (plus-suc m n)
+
+≤antisym : ∀ {m n} → m ≤ n → n ≤ m → m ≡ n
+≤antisym z≤n z≤n = refl
+≤antisym (s≤s p) (s≤s q) = cong suc (≤antisym p q)
+
+≤-split : ∀ {m n} → m ≤ n → (m ≡ n) ⊎ (suc m ≤ n)
+≤-split {n = zero} z≤n = inj₁ refl
+≤-split {n = suc n} z≤n = inj₂ (s≤s z≤n)
+≤-split (s≤s p) with ≤-split p
+... | inj₁ q = inj₁ (cong suc q)
+... | inj₂ r = inj₂ (s≤s r)
+
+≤-mono-+ : ∀ k {m n} → m ≤ n → k + m ≤ k + n
+≤-mono-+ zero p = p
+≤-mono-+ (suc k) p = s≤s (≤-mono-+ k p)
+
+-- x ≤ x + y, by induction (all sums reduce on constructor heads).
+x≤x+y : ∀ x y → x ≤ x + y
+x≤x+y zero y = z≤n
+x≤x+y (suc x) y = s≤s (x≤x+y x y)
+
+-- a ≤ b + (a ∸ b), by induction with both subtraction arguments split.
+a≤b+∸ : ∀ a b → a ≤ b + (a ∸ b)
+a≤b+∸ zero b = z≤n
+a≤b+∸ (suc a) zero = ≤-refl
+a≤b+∸ (suc a) (suc b) = s≤s (a≤b+∸ a b)
+
+-- a ≤ b + |a − b| (distance bounds the value from above).
+a≤mid+dist : ∀ a b → a ≤ b + dist a b
+a≤mid+dist a b = ≤-trans (a≤b+∸ a b) (≤-mono-+ b (x≤x+y (a ∸ b) (b ∸ a)))
+
+-- If |n| ≤ b and b ≤ 6 then the noise offset stays inside the grid.
+offset-in-grid : ∀ n₀ b → dist n₀ 6 ≤ b → b ≤ 6 → n₀ ≤ 12
+offset-in-grid n₀ b p b≤6 =
+  ≤-trans (≤-trans (a≤mid+dist n₀ 6) (≤-mono-+ 6 p)) (bound-6 b b≤6)
+  where
+    bound-6 : ∀ b → b ≤ 6 → 6 + b ≤ 12
+    bound-6 zero _ = s≤s (s≤s (s≤s (s≤s (s≤s (s≤s z≤n)))))
+    bound-6 (suc b) (s≤s p) = s≤s (s≤s (s≤s (s≤s (s≤s (s≤s (s≤s p))))))
+
+-- --------------------------------------------------------------------------
+-- Observation and admissibility: specification (Set) and decision (Bool)
+-- --------------------------------------------------------------------------
+
+-- Observation match.  r₀ is the residual's offset.
+Obs : View → Nat → World → Set
+Obs exact r₀ w = (fst w + snd w) ≡ (r₀ + 6)
+Obs sign r₀ w = signOf (fst w + snd w) 12 ≡ signOf r₀ 6
+Obs magnitude r₀ w = dist (fst w + snd w) 12 ≡ dist r₀ 6
+
+obs? : View → Nat → World → Bool
+obs? exact r₀ w = (fst w + snd w) == (r₀ + 6)
+obs? sign r₀ w = signEq (signOf (fst w + snd w) 12) (signOf r₀ 6)
+obs? magnitude r₀ w = dist (fst w + snd w) 12 == dist r₀ 6
+
+obs?-sound : ∀ view r₀ w → (obs? view r₀ w) ≡ true → Obs view r₀ w
+obs?-sound exact r₀ w p = ==-to-≡ (fst w + snd w) (r₀ + 6) p
+obs?-sound sign r₀ w p = signEq-to-≡ (signOf (fst w + snd w) 12) (signOf r₀ 6) p
+obs?-sound magnitude r₀ w p = ==-to-≡ (dist (fst w + snd w) 12) (dist r₀ 6) p
+
+obs?-complete : ∀ {view r₀ w} → Obs view r₀ w → (obs? view r₀ w) ≡ true
+obs?-complete {exact} {r₀} {w} p =
+  subst (λ j → ((fst w + snd w) == j) ≡ true) p (==-refl (fst w + snd w))
+obs?-complete {sign} {r₀} {w} p =
+  subst (λ j → signEq (signOf (fst w + snd w) 12) j ≡ true) p
+        (signEq-refl (signOf (fst w + snd w) 12))
+obs?-complete {magnitude} {r₀} {w} p =
+  subst (λ j → (dist (fst w + snd w) 12 == j) ≡ true) p
+        (==-refl (dist (fst w + snd w) 12))
+
+-- Evidence / admissibility: domain bound on u, noise bound on n, optional
+-- zero assumption on u.
+Adm : Nat → Bool → World → Set
+Adm b z w = (fst w ≤ GRID) × (dist (snd w) 6 ≤ b) ×
+            (if z then (fst w ≡ 6) else ⊤)
+
+adm? : Nat → Bool → World → Bool
+adm? b z w = (fst w ≤ᵇ GRID) and ((dist (snd w) 6 ≤ᵇ b) and
+             (if z then (fst w == 6) else true))
+
+and-split : ∀ {x y} → (x and y) ≡ true → (x ≡ true) × (y ≡ true)
+and-split {true} {y} p = refl , p
+and-split {false} {y} ()
+
+and-join : ∀ {x y} → (x ≡ true) → (y ≡ true) → (x and y) ≡ true
+and-join {true} {y} _ q = q
+and-join {false} {y} () q
+
+adm?-sound : ∀ b z w → (adm? b z w) ≡ true → Adm b z w
+adm?-sound b z w p
+  with and-split {fst w ≤ᵇ GRID}
+                 {(dist (snd w) 6 ≤ᵇ b) and (if z then (fst w == 6) else true)} p
+...  | (u≤ , rest)
+  with and-split {dist (snd w) 6 ≤ᵇ b} {if z then (fst w == 6) else true} rest
+...  | (nb , zc) = ≤ᵇ-to-≤ (fst w) GRID u≤ , ≤ᵇ-to-≤ (dist (snd w) 6) b nb ,
+                   zero-cond z zc
+  where
+    zero-cond : (z : Bool) → (if z then (fst w == 6) else true) ≡ true →
+                (if z then (fst w ≡ 6) else ⊤)
+    zero-cond true q = ==-to-≡ (fst w) 6 q
+    zero-cond false _ = tt
+
+adm?-complete : ∀ {b z w} → Adm b z w → (adm? b z w) ≡ true
+adm?-complete {b} {z} {w} (u≤ , nb , zc) =
+  and-join (≤-to-≤ᵇ u≤) (and-join (≤-to-≤ᵇ nb) (zero-cond z zc))
+  where
+    zero-cond : (z : Bool) → (if z then (fst w ≡ 6) else ⊤) →
+                (if z then (fst w == 6) else true) ≡ true
+    zero-cond true eq = ≡-to-== eq
+    zero-cond false _ = refl
+
+adm-domain : ∀ {b z w} → Adm b z w → fst w ≤ GRID
+adm-domain (u≤ , _ , _) = u≤
+
+adm-noise : ∀ {b z w} → Adm b z w → dist (snd w) 6 ≤ b
+adm-noise (_ , nb , _) = nb
+
+-- --------------------------------------------------------------------------
+-- Enumeration of the full model domain, and the candidate list
+-- --------------------------------------------------------------------------
+
+-- ascend n lo = [lo, lo+1, …, lo+n]
+ascend : Nat → Nat → List Nat
+ascend zero lo = lo ∷ []
+ascend (suc n) lo = lo ∷ ascend n (suc lo)
+
+suc≰ : ∀ m → ¬ (suc m ≤ m)
+suc≰ zero ()
+suc≰ (suc m) (s≤s p) = suc≰ m p
+
+ascend∈ : ∀ n lo k → lo ≤ k → k ≤ lo + n → k ∈ ascend n lo
+ascend∈ zero lo k lo≤k k≤ with ≤-split lo≤k
+... | inj₁ lo≡k = inj₁ (sym lo≡k)
+... | inj₂ suclo≤k = ⊥-elim (suc≰ lo (subst (λ j → suc lo ≤ j) (sym (≤antisym lo≤k (k≤lo+0 k≤))) suclo≤k))
+  where
+    k≤lo+0 : k ≤ lo + zero → k ≤ lo
+    k≤lo+0 kt = subst (λ j → k ≤ j) (plus-zero lo) kt
+ascend∈ (suc n) lo k lo≤k k≤ with ≤-split lo≤k
+... | inj₁ lo≡k = inj₁ (sym lo≡k)
+... | inj₂ suclo≤k = inj₂ (ascend∈ n (suc lo) k suclo≤k (k≤suclo+n k≤))
+  where
+    k≤suclo+n : k ≤ lo + suc n → k ≤ suc lo + n
+    k≤suclo+n kt = subst (λ j → k ≤ j) (plus-suc lo n) kt
+
+offsets : List Nat
+offsets = ascend GRID 0
+
+allWorlds : List World                       -- u-offset outer, n-offset inner
+allWorlds = concatMap (λ u₀ → map (λ n₀ → u₀ , n₀) offsets) offsets
+
+-- The admissible-candidate filter, exactly the reference explorer's loop.
+cand? : View → Nat → Nat → Bool → World → Bool
+cand? view r₀ b z w = obs? view r₀ w and adm? b z w
+
+candidates : View → Nat → Nat → Bool → List World
+candidates view r₀ b z = filter (cand? view r₀ b z) allWorlds
+
+-- --------------------------------------------------------------------------
+-- Membership lemmas
+-- --------------------------------------------------------------------------
+
+++∈-head : ∀ {a} {A : Set a} {b : A} {ys zs : List A} → b ∈ ys → b ∈ ys ++ zs
+++∈-head {ys = []} ()
+++∈-head {ys = y ∷ ys} (inj₁ eq) = inj₁ eq
+++∈-head {ys = y ∷ ys} (inj₂ m) = inj₂ (++∈-head m)
+
+++∈-tail : ∀ {a} {A : Set a} {b : A} {ys zs : List A} → b ∈ zs → b ∈ ys ++ zs
+++∈-tail {ys = []} m = m
+++∈-tail {ys = _ ∷ ys} m = inj₂ (++∈-tail {ys = ys} m)
+
+map∈ : ∀ {a b} {A : Set a} {B : Set b} (f : A → B) {x : A} {xs : List A} →
+       x ∈ xs → f x ∈ map f xs
+map∈ f {xs = []} ()
+map∈ f {xs = x ∷ xs} (inj₁ eq) = inj₁ (cong f eq)
+map∈ f {xs = x ∷ xs} (inj₂ p) = inj₂ (map∈ f p)
+
+∈-cong : ∀ {a b} {A : Set a} {B : Set b} (f : A → List B) {x y : A} {b : B} →
+         x ≡ y → b ∈ f x → b ∈ f y
+∈-cong f {b = b} eq q = subst (λ j → b ∈ f j) eq q
+
+concatMap∈ : ∀ {a b} {A : Set a} {B : Set b} (f : A → List B) {a : A} {b : B}
+             {xs : List A} → a ∈ xs → b ∈ f a → b ∈ concatMap f xs
+concatMap∈ f {xs = []} ()
+concatMap∈ f {xs = x ∷ xs} (inj₁ eq) q = ++∈-head (∈-cong f eq q)
+concatMap∈ f {xs = x ∷ xs} (inj₂ p) q = ++∈-tail {ys = f x} (concatMap∈ f p q)
+
+-- The inspect idiom: pattern-match a boolean expression's value while
+-- keeping the equation as data (no with-abstraction refinement needed).
+data Inspect {a} {A : Set a} (x : A) : Set a where
+  inspecting : (y : A) → x ≡ y → Inspect x
+
+inspect : ∀ {a} {A : Set a} (x : A) → Inspect x
+inspect x = inspecting x refl
+
+filter-true : ∀ {a} {A : Set a} (p : A → Bool) (x : A) (xs : List A) →
+              (p x) ≡ true → filter p (x ∷ xs) ≡ (x ∷ filter p xs)
+filter-true p x xs eq = cong (λ b → if b then x ∷ filter p xs else filter p xs) eq
+
+filter-false : ∀ {a} {A : Set a} (p : A → Bool) (x : A) (xs : List A) →
+               (p x) ≡ false → filter p (x ∷ xs) ≡ filter p xs
+filter-false p x xs eq = cong (λ b → if b then x ∷ filter p xs else filter p xs) eq
+
+∈-subst : ∀ {a} {A : Set a} {x : A} {l₁ l₂ : List A} → l₁ ≡ l₂ → x ∈ l₁ → x ∈ l₂
+∈-subst {x = x} eq m = subst (λ l → x ∈ l) eq m
+
+-- Filter-membership soundness and completeness.  The element is an explicit
+-- argument throughout (with it implicit, Agda promotes it to a rigid pattern
+-- variable inside these clauses and cannot unify it with the cons head);
+-- dispatch is by direct Inspect pattern-matching, which — unlike
+-- with-abstraction — leaves the other arguments' types untouched.
+
+mutual
+
+ -- Filter-membership soundness and completeness.  The element x and the list
+ -- head y are both explicit (implicit pattern variables get rigidified here
+ -- and stop unifying); dispatch is by direct Inspect pattern-matching, which
+ -- — unlike with-abstraction — leaves the other arguments' types untouched.
+
+ filter∈-dispatch : ∀ {a} {A : Set a} (p : A → Bool) (x y : A) (xs : List A) →
+                    Inspect (p y) → x ∈ filter p (y ∷ xs) →
+                    (x ∈ y ∷ xs) × ((p x) ≡ true)
+ filter∈-dispatch p x y xs (inspecting true peq) m
+   with ∈-subst {x = x} (filter-true p y xs peq) m
+ ... | inj₁ eq = inj₁ eq , trans (cong p eq) peq
+ ... | inj₂ m′ with filter∈-sound p x xs m′
+ ...   | (in-tail , pv) = inj₂ in-tail , pv
+ filter∈-dispatch p x y xs (inspecting false peq) m
+   with filter∈-sound p x xs (∈-subst {x = x} (filter-false p y xs peq) m)
+ ... | (in-tail , pv) = inj₂ in-tail , pv
+
+ filter∈-sound : ∀ {a} {A : Set a} (p : A → Bool) (x : A) (xs : List A) →
+                 x ∈ filter p xs → (x ∈ xs) × ((p x) ≡ true)
+ filter∈-sound p x [] ()
+ filter∈-sound p x (y ∷ xs) m = filter∈-dispatch p x y xs (inspect (p y)) m
+
+ filter∈-complete-false : ∀ {a} {A : Set a} (p : A → Bool) (x y : A) (xs : List A) →
+                          (p y) ≡ false → x ∈ y ∷ xs → (p x) ≡ true →
+                          x ∈ filter p (y ∷ xs)
+ filter∈-complete-false p x y xs peq m pv with m
+ ... | inj₁ eq = contradiction eq pv peq
+   where
+     contradiction : x ≡ y → (p x) ≡ true → (p y) ≡ false → x ∈ filter p (y ∷ xs)
+     contradiction eq′ pv′ peq′ =
+       nope (trans (sym pv′) (trans (cong p eq′) peq′))
+       where
+         nope : true ≡ false → x ∈ filter p (y ∷ xs)
+         nope ()
+ ... | inj₂ m′ =
+         ∈-subst {x = x} (sym (filter-false p y xs peq)) (filter∈-complete p x xs m′ pv)
+
+ filter∈-complete : ∀ {a} {A : Set a} (p : A → Bool) (x : A) (xs : List A) →
+                    x ∈ xs → (p x) ≡ true → x ∈ filter p xs
+ filter∈-complete p x [] () _
+ filter∈-complete p x (y ∷ xs) m pv with inspect (p y)
+ ... | inspecting true peq =
+         ∈-subst {x = x} (sym (filter-true p y xs peq)) (build m)
+   where
+     build : x ∈ y ∷ xs → x ∈ y ∷ filter p xs
+     build (inj₁ eq) = inj₁ eq
+     build (inj₂ m′) = inj₂ (filter∈-complete p x xs m′ pv)
+ ... | inspecting false peq = filter∈-complete-false p x y xs peq m pv
+
+-- Every world with in-grid offsets is enumerated.
+allWorlds∈ : ∀ w → fst w ≤ GRID → snd w ≤ GRID → w ∈ allWorlds
+allWorlds∈ (u₀ , n₀) u≤ n≤ =
+  concatMap∈ (λ a → map (λ b → a , b) offsets)
+             (ascend∈ GRID 0 u₀ z≤n u≤)
+             (map∈ (λ b → u₀ , b) (ascend∈ GRID 0 n₀ z≤n n≤))
+
+-- --------------------------------------------------------------------------
+-- Soundness and completeness of the enumeration
+-- --------------------------------------------------------------------------
+
+-- Splitting the candidate test into its observation and admissibility halves.
+cand-split : ∀ view r₀ b z w → (cand? view r₀ b z w) ≡ true →
+             ((obs? view r₀ w) ≡ true) × ((adm? b z w) ≡ true)
+cand-split view r₀ b z w pv = and-split {obs? view r₀ w} {adm? b z w} pv
+
+-- Every listed candidate satisfies the specification.
+candidates-sound : ∀ view r₀ b z w → w ∈ candidates view r₀ b z →
+                   (Obs view r₀ w) × Adm b z w
+candidates-sound view r₀ b z w m =
+  sound-step (filter∈-sound (cand? view r₀ b z) w allWorlds m)
+  where
+    sound-step : ((w ∈ allWorlds) × ((cand? view r₀ b z w) ≡ true)) →
+                 (Obs view r₀ w) × Adm b z w
+    sound-step (in-list , pv) =
+      obs?-sound view r₀ w (fst (cand-split view r₀ b z w pv)) ,
+      adm?-sound b z w (snd (cand-split view r₀ b z w pv))
+
+-- Every world satisfying the specification is listed, provided the bound is
+-- within the model's validated range (b ≤ 6), which keeps noise offsets
+-- inside the enumerated grid.
+candidates-complete : ∀ view r₀ b z w → b ≤ 6 →
+                      (Obs view r₀ w) × Adm b z w →
+                      w ∈ candidates view r₀ b z
+candidates-complete view r₀ b z w b≤6 (o , a) =
+  filter∈-complete (cand? view r₀ b z) w (allWorlds)
+    (allWorlds∈ w (adm-domain {w = w} a)
+                  (offset-in-grid (snd w) b (adm-noise {w = w} a) b≤6))
+    (and-join (obs?-complete o) (adm?-complete {w = w} a))
+
+-- --------------------------------------------------------------------------
+-- Length and sorted unique u-values (for the golden-vector checks)
+-- --------------------------------------------------------------------------
+
+length : ∀ {a} {A : Set a} → List A → Nat
+length [] = zero
+length (_ ∷ xs) = suc (length xs)
+
+infixr 5 _or_
+_or_ : Bool → Bool → Bool
+true or _ = true
+false or b = b
+
+insert : Nat → List Nat → List Nat
+insert k [] = k ∷ []
+insert k (x ∷ xs) = if k == x then x ∷ xs else
+                    (if k ≤ᵇ x then k ∷ x ∷ xs else (x ∷ insert k xs))
+
+usort : List Nat → List Nat
+usort [] = []
+usort (x ∷ xs) = insert x (usort xs)
+
+values : List World → List Nat                     -- sorted unique u-offsets
+values ws = usort (map fst ws)
diff --git a/proofs/agda/MetaManifold/Evidence/Warrant.agda b/proofs/agda/MetaManifold/Evidence/Warrant.agda
new file mode 100644
index 0000000..53b35da
--- /dev/null
+++ b/proofs/agda/MetaManifold/Evidence/Warrant.agda
@@ -0,0 +1,70 @@
+{-# OPTIONS --safe --without-K #-}
+-- SPDX-FileCopyrightText: 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
+-- SPDX-License-Identifier: AGPL-3.0-only
+--
+-- Warrant without soundness, following hyperpolymath/epistemic-types
+-- (MPL-2.0): a warrant is proof-relevant but NOT automatically sound.  Having
+-- a receipt for A is a different proposition from A being true; conflating
+-- the two is precisely the "scientific misuse: cherry-picking" risk named in
+-- MetaManifold-WebUI issue #7.  The Julia `Epistemic.Warrant` /
+-- `Epistemic.SoundWarrant` pair and the `epi_status` ladder
+-- (:SansFibre → :Belief → :Warranted → :Factive) are finite shadows of the
+-- definitions and separation results in this module.
+
+module MetaManifold.Evidence.Warrant where
+
+open import MetaManifold.Evidence.Prelude
+
+-- A warrant for A at standpoint κ exposes only a type of evidence tokens.
+-- There is deliberately no field `Evidence → A`: that would make every
+-- warrant factive.
+record Warrant {kℓ ℓ wℓ : Level} (K : Set kℓ) (κ : K) (A : Set ℓ)
+  : Set (kℓ ⊔ ℓ ⊔ lsuc wℓ) where
+  constructor mkWarrant
+  field
+    Evidence : Set wℓ
+
+-- Epi packages a warrant object with a token of it.  Sigma-like, but the
+-- evidence type is read from the warrant, so a forged token of the wrong
+-- type cannot be smuggled in.
+record Epi {kℓ ℓ wℓ : Level} (K : Set kℓ) (κ : K) (A : Set ℓ)
+  : Set (kℓ ⊔ ℓ ⊔ lsuc wℓ) where
+  constructor epi
+  field
+    warrant  : Warrant {kℓ = kℓ} {ℓ = ℓ} {wℓ = wℓ} K κ A
+    evidence : Warrant.Evidence warrant
+
+-- Soundness is a SEPARATE assumption.  Only after adding it can a token be
+-- exchanged for the claim.
+record SoundWarrant {kℓ ℓ wℓ : Level} (K : Set kℓ) (κ : K) (A : Set ℓ)
+  : Set (kℓ ⊔ ℓ ⊔ lsuc wℓ) where
+  constructor soundWarrant
+  field
+    warrant : Warrant {kℓ = kℓ} {ℓ = ℓ} {wℓ = wℓ} K κ A
+    sound   : Warrant.Evidence warrant → A
+
+sound-epi :
+  {kℓ ℓ wℓ : Level} {K : Set kℓ} {κ : K} {A : Set ℓ} →
+  (sw : SoundWarrant {wℓ = wℓ} K κ A) →
+  Warrant.Evidence (SoundWarrant.warrant sw) → A
+sound-epi sw token = SoundWarrant.sound sw token
+
+-- Separation: Epi κ A does not give A.  A concrete countermodel — a
+-- standpoint with trivial evidence for an uninhabited claim — shows that no
+-- general extraction function can exist.  Any code path that treats a
+-- warrant token as truth (e.g. an avec_fibre edit applied without checking
+-- the receipt) is refuted by this term.
+epi-does-not-give :
+  ¬ ( (K : Set) (κ : K) (A : Set) (e : Epi {wℓ = lzero} K κ A) → A )
+epi-does-not-give extract = ⊥-elim (extract ⊤ tt ⊥ trivial-epi)
+  where
+    trivial-warrant : Warrant {wℓ = lzero} ⊤ tt ⊥
+    trivial-warrant = mkWarrant ⊤
+
+    trivial-epi : Epi {wℓ = lzero} ⊤ tt ⊥
+    trivial-epi = epi trivial-warrant tt
+
+-- Forged acceptance stays forged: trivial evidence tokens can never be
+-- exchanged for an uninhabited claim, no matter how the warrant is packaged.
+no-sound-function-from-trivial-evidence : ¬ (⊤ → ⊥ {lzero})
+no-sound-function-from-trivial-evidence f = f tt
diff --git a/proofs/agda/README.md b/proofs/agda/README.md
index d105ee0..7219ca1 100644
--- a/proofs/agda/README.md
+++ b/proofs/agda/README.md
@@ -5,7 +5,9 @@ SPDX-License-Identifier: CC-BY-SA-4.0
 
 Machine-checked statements about MetaManifold's compositional transforms.
 Scope, layering, the theorem-to-test map and what is deliberately **not**
-proved: [`docs/formal/verification-plan.md`](../../docs/formal/verification-plan.md).
+proved: [`docs/formal/verification-plan.md`](../../docs/formal/verification-plan.md);
+for the evidence library (issue #7):
+[`docs/formal/evidence-verification.md`](../../docs/formal/evidence-verification.md).
 
 ```sh
 just proofs            # or: scripts/check-proofs.sh
@@ -13,6 +15,11 @@ just proofs            # or: scripts/check-proofs.sh
 AGDA=/path/to/agda AGDA_STDLIB_LIB=/path/to/standard-library.agda-lib scripts/check-proofs.sh
 ```
 
+The `Evidence.*` modules are deliberately **stdlib-free** (only `Agda.Builtin.*`), so they
+check under any Agda ≥ 2.6.4.3 even where the stdlib is unavailable; the rest of the
+suite uses the stdlib. Golden vectors pinning the signed model across implementations:
+[`proofs/vectors/evidence_vectors.json`](../vectors/evidence_vectors.json).
+
 Toolchain: Agda 2.6.4.3, agda-stdlib 2.1 (the estate pin). Every module is
 `--safe --without-K`; there are no postulates. Assumptions that cannot be proved
 in exact arithmetic (`log` turns products into sums; `1/sqrt` exists) are record
@@ -31,4 +38,9 @@ its type.
 | `ILR.Orthonormal` | normalised basis orthonormal (via `Normaliser`) |
 | `ILR.Comb` | comb tree under uniform weights = MetaManifold's Helmert default |
 | `ILR.Integer` | ℤ instance; positive weights ⇒ `Cancellable`; counterexample for signed weights; philr known answer |
+| `Evidence.Residual` | abstract evidence semantics: `Candidate` fibres, `Case`, `Holds`, `Identified`; actual-world honesty; no-free-weakening countermodel (issue #7) |
+| `Evidence.Echo` | fibre semantics for artefacts: `Echo` = preimage fibre, `AvecFibre`, `sans-fibre`, total-space factorisation |
+| `Evidence.Warrant` | warrant tokens: `Warrant`/`Epi`/`SoundWarrant`; `epi-does-not-give` (a token is not truth) |
+| `Evidence.Signed` | the signed finite model (`signed-integer-v1`) as offsets on ℕ; enumeration proved sound + complete |
+| `Evidence.Decision` | presence/identification verdicts computed **and** proved correct; the five reference presets as computed, proved terms |
 | `reject/` | must **fail** to type-check, each for the reason in its `-- EXPECT:` line |
diff --git a/proofs/agda/reject/IdentificationWithoutUniqueness.agda b/proofs/agda/reject/IdentificationWithoutUniqueness.agda
new file mode 100644
index 0000000..03f3eaa
--- /dev/null
+++ b/proofs/agda/reject/IdentificationWithoutUniqueness.agda
@@ -0,0 +1,15 @@
+-- SPDX-License-Identifier: AGPL-3.0-only
+-- MUST FAIL: the "Present, value unknown" preset (r = 2, |n| ≤ 1, exact view)
+-- admits three admissible candidates with three different u-offsets, so
+-- presence is entailed but no value is identified — this is Decision.agda's
+-- present-without-identification.  A UI that reports one identified value
+-- from a mere presence verdict is exactly this term, and it must not check.
+-- EXPECT: fst \(fst c\) != 8
+module reject.IdentificationWithoutUniqueness where
+
+open import MetaManifold.Evidence.Prelude
+open import MetaManifold.Evidence.Signed
+open import MetaManifold.Evidence.Decision
+
+present-but-unidentified : FIdentified exact 8 1 false fst
+present-but-unidentified = 8 , λ c → refl
diff --git a/proofs/vectors/evidence_vectors.json b/proofs/vectors/evidence_vectors.json
new file mode 100644
index 0000000..0a7cac9
--- /dev/null
+++ b/proofs/vectors/evidence_vectors.json
@@ -0,0 +1,13135 @@
+{
+ "model": "signed-integer-v1",
+ "limit": 6,
+ "source": "hyperpolymath/residual-evidence-types residual-evidence-explorer.html",
+ "licence": "MPL-2.0",
+ "case_count": 546,
+ "presets": {
+  "ambiguous": {
+   "residual": 2,
+   "noise_bound": 6,
+   "assume_zero": false,
+   "view": "exact"
+  },
+  "present": {
+   "residual": 2,
+   "noise_bound": 1,
+   "assume_zero": false,
+   "view": "exact"
+  },
+  "exact": {
+   "residual": 2,
+   "noise_bound": 0,
+   "assume_zero": false,
+   "view": "exact"
+  },
+  "cancel": {
+   "residual": 0,
+   "noise_bound": 6,
+   "assume_zero": false,
+   "view": "exact"
+  },
+  "conflict": {
+   "residual": 2,
+   "noise_bound": 1,
+   "assume_zero": true,
+   "view": "exact"
+  }
+ },
+ "cases": [
+  {
+   "residual": -6,
+   "noise_bound": 0,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 1,
+   "presence": "entailed",
+   "identified_values": [
+    -6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 0,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 0,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 6,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": 0
+    },
+    {
+     "u": -4,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 0,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 0,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 2,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": 6,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 0,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 1,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 2,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 1,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 1,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 18,
+   "presence": "unresolved",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": -1
+    },
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -6,
+     "n": 1
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 1,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 1,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": -1
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 1,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 4,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": 5,
+     "n": 1
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 1,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 2,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 3,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 2,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 2,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 30,
+   "presence": "unresolved",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0,
+    1
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": -2
+    },
+    {
+     "u": -6,
+     "n": -1
+    },
+    {
+     "u": -6,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 2,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 2,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": -2
+    },
+    {
+     "u": 0,
+     "n": -1
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 2,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 6,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 2,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 3,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 4,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 3,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 3,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 42,
+   "presence": "unresolved",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0,
+    1,
+    2
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": -3
+    },
+    {
+     "u": -6,
+     "n": -2
+    },
+    {
+     "u": -6,
+     "n": -1
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 3,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 3,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": -3
+    },
+    {
+     "u": 0,
+     "n": -2
+    },
+    {
+     "u": 0,
+     "n": -1
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 3,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 8,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 3,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 4,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 5,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 4,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 4,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 54,
+   "presence": "unresolved",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0,
+    1,
+    2,
+    3
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": -4
+    },
+    {
+     "u": -6,
+     "n": -3
+    },
+    {
+     "u": -6,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 4,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 4,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": -4
+    },
+    {
+     "u": 0,
+     "n": -3
+    },
+    {
+     "u": 0,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 4,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 10,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 4,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 5,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 6,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 5,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 5,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 66,
+   "presence": "unresolved",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0,
+    1,
+    2,
+    3,
+    4
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": -5
+    },
+    {
+     "u": -6,
+     "n": -4
+    },
+    {
+     "u": -6,
+     "n": -3
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 5,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 5,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": -5
+    },
+    {
+     "u": 0,
+     "n": -4
+    },
+    {
+     "u": 0,
+     "n": -3
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 5,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 12,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": -6,
+   "noise_bound": 5,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": -6,
+   "noise_bound": 6,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 7,
+   "presence": "unresolved",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0
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+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 0,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 6,
+   "presence": "entailed",
+   "identified_values": [
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 1,
+     "n": 0
+    },
+    {
+     "u": 2,
+     "n": 0
+    },
+    {
+     "u": 3,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 0,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 0,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 2,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": 6,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 0,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 1,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 2,
+   "presence": "entailed",
+   "identified_values": [
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 5,
+     "n": 1
+    },
+    {
+     "u": 6,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 1,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 1,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 18,
+   "presence": "unresolved",
+   "identified_values": [
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 1
+    },
+    {
+     "u": 1,
+     "n": 0
+    },
+    {
+     "u": 1,
+     "n": 1
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 1,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 1,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 1
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 1,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 4,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": 5,
+     "n": 1
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 1,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 2,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 3,
+   "presence": "entailed",
+   "identified_values": [
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 4,
+     "n": 2
+    },
+    {
+     "u": 5,
+     "n": 1
+    },
+    {
+     "u": 6,
+     "n": 0
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 2,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 2,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 30,
+   "presence": "unresolved",
+   "identified_values": [
+    -1,
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -1,
+     "n": 2
+    },
+    {
+     "u": 0,
+     "n": 1
+    },
+    {
+     "u": 0,
+     "n": 2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 2,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 2,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 1
+    },
+    {
+     "u": 0,
+     "n": 2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 2,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 6,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 2,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 3,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 4,
+   "presence": "entailed",
+   "identified_values": [
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 3,
+     "n": 3
+    },
+    {
+     "u": 4,
+     "n": 2
+    },
+    {
+     "u": 5,
+     "n": 1
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 3,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 3,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 42,
+   "presence": "unresolved",
+   "identified_values": [
+    -2,
+    -1,
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -2,
+     "n": 3
+    },
+    {
+     "u": -1,
+     "n": 2
+    },
+    {
+     "u": -1,
+     "n": 3
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 3,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 3,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 1
+    },
+    {
+     "u": 0,
+     "n": 2
+    },
+    {
+     "u": 0,
+     "n": 3
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 3,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 8,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 3,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 4,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 5,
+   "presence": "entailed",
+   "identified_values": [
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 2,
+     "n": 4
+    },
+    {
+     "u": 3,
+     "n": 3
+    },
+    {
+     "u": 4,
+     "n": 2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 4,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 4,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 54,
+   "presence": "unresolved",
+   "identified_values": [
+    -3,
+    -2,
+    -1,
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -3,
+     "n": 4
+    },
+    {
+     "u": -2,
+     "n": 3
+    },
+    {
+     "u": -2,
+     "n": 4
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 4,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 4,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 1
+    },
+    {
+     "u": 0,
+     "n": 2
+    },
+    {
+     "u": 0,
+     "n": 3
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 4,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 10,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 4,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 5,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 6,
+   "presence": "entailed",
+   "identified_values": [
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 1,
+     "n": 5
+    },
+    {
+     "u": 2,
+     "n": 4
+    },
+    {
+     "u": 3,
+     "n": 3
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 5,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 5,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 66,
+   "presence": "unresolved",
+   "identified_values": [
+    -4,
+    -3,
+    -2,
+    -1,
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -4,
+     "n": 5
+    },
+    {
+     "u": -3,
+     "n": 4
+    },
+    {
+     "u": -3,
+     "n": 5
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 5,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 5,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 1
+    },
+    {
+     "u": 0,
+     "n": 2
+    },
+    {
+     "u": 0,
+     "n": 3
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 5,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 12,
+   "presence": "entailed",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 5,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 0,
+   "presence": "inconsistent",
+   "identified_values": [],
+   "first_candidates": []
+  },
+  {
+   "residual": 6,
+   "noise_bound": 6,
+   "view": "exact",
+   "assume_zero": false,
+   "candidate_count": 7,
+   "presence": "unresolved",
+   "identified_values": [
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 6
+    },
+    {
+     "u": 1,
+     "n": 5
+    },
+    {
+     "u": 2,
+     "n": 4
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 6,
+   "view": "exact",
+   "assume_zero": true,
+   "candidate_count": 1,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 6
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 6,
+   "view": "sign",
+   "assume_zero": false,
+   "candidate_count": 78,
+   "presence": "unresolved",
+   "identified_values": [
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -5,
+     "n": 6
+    },
+    {
+     "u": -4,
+     "n": 5
+    },
+    {
+     "u": -4,
+     "n": 6
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 6,
+   "view": "sign",
+   "assume_zero": true,
+   "candidate_count": 6,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": 1
+    },
+    {
+     "u": 0,
+     "n": 2
+    },
+    {
+     "u": 0,
+     "n": 3
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 6,
+   "view": "magnitude",
+   "assume_zero": false,
+   "candidate_count": 14,
+   "presence": "unresolved",
+   "identified_values": [
+    -6,
+    -5,
+    -4,
+    -3,
+    -2,
+    -1,
+    0,
+    1,
+    2,
+    3,
+    4,
+    5,
+    6
+   ],
+   "first_candidates": [
+    {
+     "u": -6,
+     "n": 0
+    },
+    {
+     "u": -5,
+     "n": -1
+    },
+    {
+     "u": -4,
+     "n": -2
+    }
+   ]
+  },
+  {
+   "residual": 6,
+   "noise_bound": 6,
+   "view": "magnitude",
+   "assume_zero": true,
+   "candidate_count": 2,
+   "presence": "refuted",
+   "identified_values": [
+    0
+   ],
+   "first_candidates": [
+    {
+     "u": 0,
+     "n": -6
+    },
+    {
+     "u": 0,
+     "n": 6
+    }
+   ]
+  }
+ ]
+}
diff --git a/scripts/gen_evidence_vectors.py b/scripts/gen_evidence_vectors.py
new file mode 100644
index 0000000..7e04410
--- /dev/null
+++ b/scripts/gen_evidence_vectors.py
@@ -0,0 +1,129 @@
+#!/usr/bin/env python3
+# SPDX-License-Identifier: AGPL-3.0-only
+# SPDX-FileCopyrightText: 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>
+#
+# gen_evidence_vectors.py — regenerate the shared golden vectors for the
+# Evidence Mode finite residual model (issue #7).
+#
+# The vectors are the single source of truth shared by three checkers:
+#   1. the Agda proofs in proofs/  (decision procedures are *proved* correct
+#      against the Candidate semantics; representative vector cases are
+#      re-checked as executable Agda terms in MetaManifoldEvidence.Vectors)
+#   2. the Julia backend tests    (test/unit/test_evidence_mode.jl)
+#   3. the frontend bun tests     (frontend/tests/unit/evidence-model.test.ts)
+#
+# The semantics implemented here are copied EXACTLY from the reference
+# finite explorer in hyperpolymath/residual-evidence-types
+# (residual-evidence-explorer.html, model 'signed-integer-v1', MPL-2.0):
+#
+#   LIMIT = 6;  world = (u, n) with u, n integers in [-6, 6]
+#   views: exact = identity, sign = Math.sign, magnitude = Math.abs
+#   candidates = [(u, n) | |n| <= noise_bound, (not assume_zero or u == 0),
+#                 observe(u + n) == observe(residual)]
+#   presence : entailed   iff candidates nonempty and every candidate has u != 0
+#              refuted    iff candidates nonempty and every candidate has u == 0
+#              unresolved iff both kinds remain
+#              inconsistent iff candidates empty
+#   identification: sorted unique u values over candidates; identified iff
+#              exactly one value, unidentified otherwise (inconsistent if empty)
+#
+# Output is deterministic (sorted keys, stable case order) so the committed
+# JSON never churns: re-running this script must produce a byte-identical file.
+#
+# Usage: python3 scripts/gen_evidence_vectors.py [output-path]
+
+import json
+import math
+import sys
+from pathlib import Path
+
+LIMIT = 6
+
+VIEWS = {
+    "exact": lambda x: x,
+    "sign": lambda x: int(math.sign(x)) if False else (0 if x == 0 else (1 if x > 0 else -1)),
+    "magnitude": abs,
+}
+
+
+def make_case(residual, noise_bound, view, assume_zero):
+    """Reference semantics, ported line-for-line from the explorer."""
+    if not (isinstance(residual, int) and abs(residual) <= LIMIT):
+        raise ValueError("residual must be an integer in [-6, 6]")
+    if not (isinstance(noise_bound, int) and 0 <= noise_bound <= LIMIT):
+        raise ValueError("noise_bound must be an integer in [0, 6]")
+    observe = VIEWS[view]
+    candidates = []
+    for latent in range(-LIMIT, LIMIT + 1):
+        for noise in range(-LIMIT, LIMIT + 1):
+            if (abs(noise) <= noise_bound
+                    and (not assume_zero or latent == 0)
+                    and observe(latent + noise) == observe(residual)):
+                candidates.append({"u": latent, "n": noise})
+    return candidates
+
+
+def decide_presence(candidates):
+    """entailed / refuted / unresolved / inconsistent, with witnesses."""
+    if not candidates:
+        return {"status": "inconsistent", "supporting": None, "counterexample": None}
+    supporting = next((w for w in candidates if w["u"] != 0), None)
+    counterexample = next((w for w in candidates if w["u"] == 0), None)
+    status = ("entailed" if counterexample is None
+              else "refuted" if supporting is None
+              else "unresolved")
+    return {"status": status, "supporting": supporting, "counterexample": counterexample}
+
+
+def identify(candidates):
+    if not candidates:
+        return {"status": "inconsistent", "values": []}
+    values = sorted({w["u"] for w in candidates})
+    return {"status": "identified" if len(values) == 1 else "unidentified", "values": values}
+
+
+def main():
+    out = Path(sys.argv[1] if len(sys.argv) > 1 else "proofs/vectors/evidence_vectors.json")
+    cases = []
+    # Full factorial sweep: 13 residuals x 7 bounds x 3 views x 2 zero-assumptions.
+    for residual in range(-LIMIT, LIMIT + 1):
+        for bound in range(0, LIMIT + 1):
+            for view in ("exact", "sign", "magnitude"):
+                for assume_zero in (False, True):
+                    cands = make_case(residual, bound, view, assume_zero)
+                    case = {
+                        "residual": residual,
+                        "noise_bound": bound,
+                        "view": view,
+                        "assume_zero": assume_zero,
+                        "candidate_count": len(cands),
+                        "presence": decide_presence(cands)["status"],
+                        "identified_values": identify(cands)["values"],
+                        "first_candidates": cands[:3],
+                    }
+                    cases.append(case)
+
+    doc = {
+        "model": "signed-integer-v1",
+        "limit": LIMIT,
+        "source": "hyperpolymath/residual-evidence-types residual-evidence-explorer.html",
+        "licence": "MPL-2.0",
+        "case_count": len(cases),
+        "presets": {
+            "ambiguous": {"residual": 2, "noise_bound": 6, "assume_zero": False, "view": "exact"},
+            "present": {"residual": 2, "noise_bound": 1, "assume_zero": False, "view": "exact"},
+            "exact": {"residual": 2, "noise_bound": 0, "assume_zero": False, "view": "exact"},
+            "cancel": {"residual": 0, "noise_bound": 6, "assume_zero": False, "view": "exact"},
+            "conflict": {"residual": 2, "noise_bound": 1, "assume_zero": True, "view": "exact"},
+        },
+        "cases": cases,
+    }
+    out.parent.mkdir(parents=True, exist_ok=True)
+    with open(out, "w", encoding="utf-8") as fh:
+        json.dump(doc, fh, indent=1, sort_keys=False)
+        fh.write("\n")
+    print(f"wrote {len(cases)} cases to {out}")
+
+
+if __name__ == "__main__":
+    main()