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Proof step 17 from proof ac-dups-03 (previous step)

∀ class1, sk, val, fis1, val0, fis2, st. addclass(class1, fis0 + (sk × val) ' + fis1 + (sk × val0) ' + fis2, st) = addclass(class1, fis0 + (sk × val) ' + fis1 + fis2, st) ⊦ addclass(fs .class, ((fs ' × val1) ' + fis0) + (sk × val) ' + fis1 + (sk × val0) ' + fis2, st) = addclass(fs .class, ((fs ' × val1) ' + fis0) + (sk × val) ' + fis1 + fis2, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
fs = mkfs(class, ty, fieldvar), ∀ class1, sk, val, fis1, val0, fis2, st. addclass(class1, fis0 + (sk × val) ' + fis1 + (sk × val0) ' + fis2, st) = addclass(class1, fis0 + (sk × val) ' + fis1 + fis2, st) ⊦ addclass(class, ((fs ' × val1) ' + fis0) + (sk × val) ' + fis1 + (sk × val0) ' + fis2, st) = addclass(class, ((fs ' × val1) ' + fis0) + (sk × val) ' + fis1 + fis2, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty, fieldvar)]]