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Proof step 7 from proof ac-bad (previous step)

∀ class1, class2, ty, fieldvar, val, fis1, st. class1 = class2 ∨ addclass(class1, fis0 + (mkfs(class2, ty, fieldvar) ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st) ⊦ addclass(fs .class, ((fs ' × val0) ' + fis0) + (mkfs(class2, ty, fieldvar) ' × val) ' + fis1, st) = addclass(fs .class, ((fs ' × val0) ' + fis0) + fis1, st), fs .class = class2

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
fs = mkfs(class, ty0, fieldvar0), ∀ class1, class2, ty, fieldvar, val, fis1, st. class1 = class2 ∨ addclass(class1, fis0 + (mkfs(class2, ty, fieldvar) ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st) ⊦ addclass(class, ((fs ' × val0) ' + fis0) + (mkfs(class2, ty, fieldvar) ' × val) ' + fis1, st) = addclass(class, ((fs ' × val0) ' + fis0) + fis1, st), class = class2

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty0, fieldvar0] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty0, fieldvar0)]]