diff --git a/docs/CHANGELOG.md b/docs/CHANGELOG.md
index 16baa251edca..c70107b8025f 100644
--- a/docs/CHANGELOG.md
+++ b/docs/CHANGELOG.md
@@ -50,6 +50,7 @@ Optional Checker.
 
 **Closed issues:**
 
+eisop#433
 
 Version 3.49.5-eisop1 (April 26, 2026)
 --------------------------------------
diff --git a/framework/src/main/java/org/checkerframework/framework/type/AbstractViewpointAdapter.java b/framework/src/main/java/org/checkerframework/framework/type/AbstractViewpointAdapter.java
index 631f35acf096..e26c28cff8aa 100644
--- a/framework/src/main/java/org/checkerframework/framework/type/AbstractViewpointAdapter.java
+++ b/framework/src/main/java/org/checkerframework/framework/type/AbstractViewpointAdapter.java
@@ -4,6 +4,7 @@
 import org.checkerframework.framework.type.AnnotatedTypeMirror.AnnotatedArrayType;
 import org.checkerframework.framework.type.AnnotatedTypeMirror.AnnotatedDeclaredType;
 import org.checkerframework.framework.type.AnnotatedTypeMirror.AnnotatedExecutableType;
+import org.checkerframework.framework.type.AnnotatedTypeMirror.AnnotatedIntersectionType;
 import org.checkerframework.framework.type.AnnotatedTypeMirror.AnnotatedNullType;
 import org.checkerframework.framework.type.AnnotatedTypeMirror.AnnotatedPrimitiveType;
 import org.checkerframework.framework.type.AnnotatedTypeMirror.AnnotatedTypeVariable;
@@ -12,8 +13,10 @@
 import org.checkerframework.javacutil.ElementUtils;
 import org.plumelib.util.IPair;
 
+import java.util.ArrayList;
 import java.util.IdentityHashMap;
 import java.util.List;
+import java.util.function.Function;
 
 import javax.lang.model.element.AnnotationMirror;
 import javax.lang.model.element.Element;
@@ -363,6 +366,10 @@ protected AnnotatedTypeMirror combineAnnotationWithType(
                             receiverAnnotation, extractAnnotationMirror(ant));
             ant.replaceAnnotation(resultAnnotation);
             return ant;
+        } else if (declared.getKind() == TypeKind.INTERSECTION) {
+            return adaptIntersectionBounds(
+                    (AnnotatedIntersectionType) declared,
+                    bound -> combineAnnotationWithType(receiverAnnotation, bound));
         } else {
             throw new BugInCF(
                     "ViewpointAdapter::combineAnnotationWithType: Unknown decl: "
@@ -447,6 +454,10 @@ private AnnotatedTypeMirror substituteTVars(AnnotatedTypeMirror lhs, AnnotatedTy
             rhs = AnnotatedTypeCopierWithReplacement.replace(aat, mappings);
         } else if (rhs.getKind().isPrimitive() || rhs.getKind() == TypeKind.NULL) {
             // nothing to do for primitive types and the null type
+        } else if (rhs.getKind() == TypeKind.INTERSECTION) {
+            rhs =
+                    adaptIntersectionBounds(
+                            (AnnotatedIntersectionType) rhs, bound -> substituteTVars(lhs, bound));
         } else {
             throw new BugInCF(
                     "ViewpointAdapter::substituteTVars: Cannot handle rhs: "
@@ -458,6 +469,30 @@ private AnnotatedTypeMirror substituteTVars(AnnotatedTypeMirror lhs, AnnotatedTy
         return rhs;
     }
 
+    /**
+     * Returns a copy of {@code source} whose bounds have been adapted by {@code adaptBound}.
+     *
+     * @param source intersection type whose bounds should be adapted
+     * @param adaptBound function that adapts one bound
+     * @return a copy of {@code source} with adapted bounds
+     */
+    private AnnotatedIntersectionType adaptIntersectionBounds(
+            AnnotatedIntersectionType source,
+            Function<AnnotatedTypeMirror, AnnotatedTypeMirror> adaptBound) {
+        AnnotatedIntersectionType intersection = source.shallowCopy(/* copyAnnotations= */ false);
+        List<AnnotatedTypeMirror> bounds = source.getBounds();
+        List<AnnotatedTypeMirror> adaptedBounds = new ArrayList<>(bounds.size());
+        for (AnnotatedTypeMirror bound : bounds) {
+            adaptedBounds.add(adaptBound.apply(bound));
+        }
+        // First replace the bounds copied by shallowCopy with the adapted bounds. Then clear the
+        // shallow copy's stale primary annotations and recompute them from the adapted bounds.
+        intersection.setBounds(adaptedBounds);
+        intersection.clearAnnotations();
+        intersection.copyIntersectionBoundAnnotations();
+        return intersection;
+    }
+
     /**
      * Return actual type argument for formal type parameter "var" from "type"
      *
diff --git a/framework/tests/all-systems/IntersectionTypeNoCrash.java b/framework/tests/all-systems/IntersectionTypeNoCrash.java
new file mode 100644
index 000000000000..051213799c86
--- /dev/null
+++ b/framework/tests/all-systems/IntersectionTypeNoCrash.java
@@ -0,0 +1,21 @@
+// Test case for EISOP Issue 433:
+// https://github.com/eisop/checker-framework/issues/433
+
+public class IntersectionTypeNoCrash {
+
+    interface Foo {}
+
+    interface Bar {}
+
+    class Baz implements Foo, Bar {}
+
+    <T extends Foo & Bar> void call(T p) {}
+
+    void test() {
+        call(new Baz());
+    }
+
+    void testCast(Object obj) {
+        Foo fooAndBar = (Foo & Bar) obj;
+    }
+}
diff --git a/framework/tests/viewpointtest/IntersectionTypes.java b/framework/tests/viewpointtest/IntersectionTypes.java
new file mode 100644
index 000000000000..f95391477a1e
--- /dev/null
+++ b/framework/tests/viewpointtest/IntersectionTypes.java
@@ -0,0 +1,86 @@
+// Test case for EISOP Issue 433:
+// https://github.com/eisop/checker-framework/issues/433
+
+import viewpointtest.quals.*;
+
+public class IntersectionTypes {
+
+    interface Foo {}
+
+    interface Bar {}
+
+    interface Accessor {
+        @ReceiverDependentQual Object get();
+
+        void set(@ReceiverDependentQual Object o);
+    }
+
+    class Baz implements Foo, Bar, Accessor {
+        @Override
+        public @ReceiverDependentQual Object get() {
+            return null;
+        }
+
+        @Override
+        public void set(@ReceiverDependentQual Object o) {}
+    }
+
+    <T extends Foo & Bar> void call(T p) {}
+
+    <T extends Foo & Accessor> void callAccessor(T p) {}
+
+    class ViewpointAdaptedIntersectionBound<T extends @ReceiverDependentQual Accessor & Foo> {
+        void viewpointAdaptedIntersectionBound(@A T p, @A Object aObj, @B Object bObj) {
+            @A Object adapted = p.get();
+            // :: error: (assignment.type.incompatible)
+            @B Object notAdaptedToB = p.get();
+
+            p.set(aObj);
+            // :: error: (argument.type.incompatible)
+            p.set(bObj);
+        }
+    }
+
+    void foo(@A Object aObj, @B Object bObj) {
+        // :: warning: (cast.unsafe.constructor.invocation)
+        Baz baz = new @A Baz();
+        call(baz);
+        callAccessor(baz);
+
+        @A Object adapted = baz.get();
+        // :: error: (assignment.type.incompatible)
+        @B Object notAdaptedToB = baz.get();
+
+        baz.set(aObj);
+        // :: error: (argument.type.incompatible)
+        baz.set(bObj);
+    }
+
+    void intersectionCasts(Object obj) {
+        Foo fooAndBar = (Foo & Bar) obj;
+        Accessor fooAndAccessor = (Foo & Accessor) obj;
+    }
+
+    void annotatedIntersectionCast(@B Object obj) {
+        // :: warning: (cast.unsafe)
+        Accessor fooAndAccessor = (@A Foo & Accessor) obj;
+    }
+
+    interface BType<X> {}
+
+    interface CType<X> {}
+
+    abstract class D<X extends BType<X> & CType<X>> {}
+
+    class BC implements BType<BC>, CType<BC> {}
+
+    class E extends D<BC> {}
+
+    <T extends BType<T> & CType<T>> void callBC(T p) {}
+
+    // Documents the current decision for https://github.com/eisop/checker-framework/issues/1735:
+    // when multiple bounds in an intersection type have explicit qualifiers in the same hierarchy,
+    // the later qualifier is ignored.
+    // :: warning: (explicit.annotation.ignored)
+    <T extends @A Foo & @B Bar> void callAnnotatedBounds(T p) {}
+}