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Proof step 14 from proof addclass-switch (previous step)

sk = fs ', is_fskey(sk), ∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ addclass(class, (sk × val0) ' + fis0, st[r -- i ', val]) = (addclass(class, (sk × val0) ' + fis0, st)[r -- i ', val]), ¬ is_indexkey(sk) ∧ fs .class ≠ class

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ addclass(fs .class, (fs ' × val0) ' + fis0, st[r -- i ', val]) = (addclass(fs .class, (fs ' × val0) ' + fis0, st)[r -- i ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]