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Proof step 27 from proof ac-bad-03 (previous step)

is_indexkey(fv .1), ∀ class1, i, val, st. addclass(class1, fis0 + (i ' × val) ', st) = addclass(class1, fis0, st) ⊦ addclass(class1, fis0 + (i ' × val) ', st) = addclass(class1, fv ' + fis0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
⊦ is_indexkey(fv .1) → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 26:
is_indexkey(fv .1), ∀ class1, i, val, st. addclass(class1, fis0 + (i ' × val) ', st) = addclass(class1, fis0, st) ⊦ addclass(class1, fis0 + (i ' × val) ', st) = addclass(class1, fis0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])]]