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Proof step 32 from proof ac-del (previous step)

fv = sk0 × val1, is_indexkey(sk0), ∀ class1, sk, val0, fis1, st, val. (addclass(class1, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val]) = (addclass(class1, fis0 + fis1, st)[jvmref -- sk, val]) ⊦ (addclass(class1, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val]) = (addclass(class1, fis0 + fis1, st)[jvmref -- sk, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
is_indexkey(sk0), ∀ class1, sk, val0, fis1, st, val. (addclass(class1, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val]) = (addclass(class1, fis0 + fis1, st)[jvmref -- sk, val]) ⊦ (addclass(class1, fis0 + (sk × val0) ' + fis1, st)[jvmref -- sk, val]) = (addclass(class1, fis0 + fis1, st)[jvmref -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]