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Proof step 23 from proof validref-ac (previous step)

¬ (is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class), ∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, fv ' + fis0, st)) ↔ validref(str, r, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
∀ str, r, ty, class, st. validref(str, r, ty, addclass(class, fis0, st)) ↔ validref(str, r, ty, st) ⊦ validref(str, r, ty, addclass(class, fv ' + fis0, st)) ↔ validref(str, r, ty, st), ¬ is_indexkey(fv .1) ∧ fv .1 .fs .class ≠ class

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]