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Proof step 15 from proof ac-bad-01 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
fs = mkfs(class, ty0, fieldvar0), ∀ class1, class2, ty, fieldvar, val, st. class1 = class2 ∨ addclass(class1, fis0 + (mkfs(class2, ty, fieldvar) ' × val) ', st) = addclass(class1, fis0, st) ⊦ class1 = class2, addclass(class1, fis0 + (mkfs(class2, ty, fieldvar) ' × val) ', st) = addclass(class1, fis0, st), class = class1

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)]]