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

is_indexkey((sk × val) .1), sk .fs = mkfs(class0, ty0, fieldvar), ∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st), ¬ is_indexkey(sk) ∧ class0 ≠ class

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
sk .fs = mkfs(class0, ty0, fieldvar), is_indexkey(sk), ∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st)

Rule argument

[emptyarg]

Additional information

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