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Proof step 10 from proof ac-isarray (previous step)

is_indexkey((sk × val) .1), sk .fs = mkfs(class, ty, fieldvar), ∀ r, i, class1, st. is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st) ⊦ is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st), ¬ is_indexkey(sk) ∧ class ≠ class1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
sk .fs = mkfs(class, ty, fieldvar), is_indexkey(sk), ∀ r, i, class1, st. is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st) ⊦ is_arrayref(r, i, addclass(class1, fis0, st)) ↔ is_arrayref(r, i, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (sk × val) .1 = sk])]]