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Proof step 27 from proof addclass-switch (previous step)

¬ is_indexkey(fv .1), ∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ addclass(class, fv ' + fis0, st[r -- i ', val]) = (addclass(class, fv ' + fis0, st)[r -- i ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
is_fskey(fv .1), ∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ addclass(class, fv ' + fis0, st[r -- i ', val]) = (addclass(class, fv ' + fis0, st)[r -- i ', val])

Rule argument

[emptyarg]

Additional information

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