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Proof step 26 from proof ac-bad-02 (previous step)

is_indexkey(fv .1), ∀ class1, i, val, fis1, st. addclass(class1, fis0 + (i ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st) ⊦ addclass(class1, fis0 + (i ' × val) ' + fis1, st) = addclass(class1, (fv ' + fis0) + fis1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
⊦ is_indexkey(fv .1) → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 25:
is_indexkey(fv .1), ∀ class1, i, val, fis1, st. addclass(class1, fis0 + (i ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st) ⊦ addclass(class1, fis0 + (i ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st)

Rule argument

[emptyarg]

Additional information

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