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Proof step 54 from proof validrefnotnull-union-at-right (previous step)

validrefnotnull(str, r, ty, st0), is_classtype(ty), sk ∈ instfields(ty .class), is_fskey(sk) ⊦ (st ∪ st0)[r -- sk] = st0[r -- sk], r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 53:
ty = mkclasstype(class), validrefnotnull(str, r, ty, st0), is_classtype(ty), sk ∈ instfields(class), is_fskey(sk) ⊦ (st ∪ st0)[r -- sk] = st0[r -- sk], r = jvmref

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty, class] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty, class)]]