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Proof step 18 from proof ac-isarray (previous step)

∀ r, i, class1, st. is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st) ⊦ fs .class = class1, is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
fs = mkfs(class, ty, fieldvar), ∀ r, i, class1, st. is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st) ⊦ class = class1, is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st)

Rule argument

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