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Proof step 13 from proof validfield-superset (previous step)

sk .fs = mkfs(class, ty, fieldvar), r -- sk ∈ st, is_fskey(sk), r ∈ st, type∃(str, ty), st ⊆ st0, okval(st[r -- sk], ty), is_reftype(ty) → validrefval(str, st[r -- sk], ty, st) ⊦ ty = void_type, goodfieldandtype(r, sk, st0) ∧ (is_reftype(ty) → validrefval(str, st0[r -- sk], ty, st0))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
sk = fs ', fs = mkfs(class, ty, fieldvar), r -- sk ∈ st, is_fskey(sk), r ∈ st, type∃(str, ty), st ⊆ st0, okval(st[r -- sk], ty), is_reftype(ty) → validrefval(str, st[r -- sk], ty, st) ⊦ ty = void_type, goodfieldandtype(r, sk, st0) ∧ (is_reftype(ty) → validrefval(str, st0[r -- sk], ty, st0))

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]