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Proof step 41 from proof validval-putrkvs (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 40:
sk .fs = mkfs(class, ty, fieldvar), validvals(str, rkvs, st), validval(str, r -- sk, val, st) ⊦ (is_fskey(sk) → validval(str, val, ty, st[rkvs]) ∧ ty ≠ void_type ∧ sk ≠ _length) ∧ (is_indexkey(sk) → validval(str, val, (st[rkvs][r -- _type]) .type .type, st[rkvs]))

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)]]