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Proof step 19 from proof ac-dups-04 (conclusion)

⊦ addclass(class1, (sk × val) ' + (sk × val0) ', st) = addclass(class1, (sk × val) ', st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ is_indexkey(fv .1) → addclass(class, fv ' + fis, st) = addclass(class, fis, st)
Proof step 15:
¬ is_indexkey((sk × val) .1) ⊦ addclass(class1, (sk × val) ' + (sk × val0) ', st) = addclass(class1, (sk × val) ', st)
Proof step 18:
is_indexkey((sk × val) .1) ⊦ addclass(class1, (sk × val0) ', st) = addclass(class1, (sk × val) ', st)

Rule argument

[crewrite-arg: ac-no2 , F , [st, fis, fv, class] → [st, (sk × val0) ', sk × val, class1] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, (sk × val0) ', sk × val, class1)]]