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Proof step 71 from proof validval-put-any (previous step)

sk .fs = mkfs(class, ty, fieldvar), validval(str, rk, val, st), validval(str, r -- sk, val0, st), is_fskey(sk) ⊦ r -- _type = rk, validval(str, val0, ty, st[rk, val]) ∧ ty ≠ void_type ∧ sk ≠ _length

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 70:
sk = fs ', fs = mkfs(class, ty, fieldvar), validval(str, rk, val, st), validval(str, r -- sk, val0, st), is_fskey(sk) ⊦ r -- _type = rk, validval(str, val0, ty, st[rk, val]) ∧ ty ≠ void_type ∧ sk ≠ _length

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)]]