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Proof step 4 from proof validref-put-any (previous step)

sk .fs = mkfs(class, ty0, fieldvar), is_fskey(sk), validref(str, r, ty, st), is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0), ¬ is_referencevalue(val) → okval(val, ty0) ∧ ty0 ≠ void_type ∧ sk ≠ _length ⊦ validref(str, r, ty, st[r0 -- sk, val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
sk = fs ', fs = mkfs(class, ty0, fieldvar), is_fskey(sk), validref(str, r, ty, st), is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0), ¬ is_referencevalue(val) → okval(val, ty0) ∧ ty0 ≠ void_type ∧ sk ≠ _length ⊦ validref(str, r, ty, st[r0 -- sk, val])

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)]]