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Proof step 23 from proof validfieldinits-rec (previous step)

⊦ validfieldinits(str, (sk × val) ' + fis, st) ↔ ¬ is_indexkey(sk) ∧ validval(str, val, sk .fs .type, st) ∧ type∃(str, sk .fs .type) ∧ validfieldinits(str, fis, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 22:
sk .fs = mkfs(class, ty, fieldvar) ⊦ validfieldinits(str, (sk × val) ' + fis, st) ↔ ¬ is_indexkey(sk) ∧ validval(str, val, ty, st) ∧ type∃(str, ty) ∧ validfieldinits(str, fis, st)

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)]]