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Proof step 30 from proof ac-lookup-05 (conclusion)

⊦ ¬ is_fskey(sk) → (addclass(class, fis, st)[r -- sk]) = st[r -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
is_indexkey(sk) ⊦ (addclass(class, fis, st)[r -- sk]) = st[r -- sk]

Rule argument

[emptyarg]

Additional information

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