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Proof step 10 from proof validfield-one (previous step)

⊦ validfield(str, r, sk, st) ↔ ¬ is_indexkey(sk) ∧ r -- sk ∈ st ∧ type∃(str, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ validval(str, st[r -- sk], sk .fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
sk .fs = mkfs(class, ty, fieldvar) ⊦ validfield(str, r, sk, st) ↔ ¬ is_indexkey(sk) ∧ r -- sk ∈ st ∧ type∃(str, ty) ∧ ty ≠ void_type ∧ validval(str, st[r -- sk], ty, 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)]]