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Proof step 142 from proof validval-put-any (previous step)

validval(str, r -- sk, val0, st), validval(str, rk, val, st) ⊦ (is_fskey(sk) → validval(str, val0, sk .fs .type, st[rk, val]) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length) ∧ (is_indexkey(sk) → validval(str, val0, (st[rk, val][r -- _type]) .type .type, st[rk, val]))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 141:
sk .fs = mkfs(class, ty, fieldvar), validval(str, r -- sk, val0, st), validval(str, rk, val, st) ⊦ (is_fskey(sk) → validval(str, val0, ty, st[rk, val]) ∧ ty ≠ void_type ∧ sk ≠ _length) ∧ (is_indexkey(sk) → validval(str, val0, (st[rk, val][r -- _type]) .type .type, st[rk, val]))

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk .fs, class, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class, ty, fieldvar)]]