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Change Events.preCo from a plain Prop to a structure with two fields: - wellTyped: the existing well-typedness condition on co pairs - total: co is a total order on same-location writes Update all wellformed.co instances in Litmus.lean to prove both fields.
- wellformed.rf: extend to a structure with wellTyped (existing conditions) and unique (each read has at most one rf source) - Events.preCo: extend to a structure with wellTyped (existing conditions) and total (co is a total order on same-location writes) - CandidateExecution: remove fr as a settable field; define it as a transparent @[simp] def so theorems can unfold it - Litmus.lean: update all rfInst and preco proofs for the new structures - Theorems.lean: prove rf_fr_subset_co (rf;fr⊆co via rf uniqueness)
co_acyclic: co is acyclic, following from wellformed.co's irrefl and trans via the existing strictPartialOrderImpliesAcyclic lemma. fr_co_subset_fr: fr;co ⊆ fr — if (r,w)∈fr and (w,w')∈co then (r,w')∈fr. Proof unfolds fr, applies co transitivity, and repacks.
- Add CoWR condition to CandidateExecution: a read cannot observe a write older than the most recent same-location po-predecessor, needed to prove LKMM coherence from TSO acyclicity - Instantiate coWR for all three litmus tests (SB, MP, LB) - Fix two bugs in Macro.lean: rfe was X.fr instead of X.rf, and ext was Rel.internal instead of Rel.external - Add X86WeakerThanLKMM.lean with theorem statement (proof pending) - Fix tsoWeakerThanSc.lean imports and remove broken ConcreteExecution Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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