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Proof step 9 from proof ac-bad-01 (previous step)

sk = fs ', is_fskey(sk), ∀ 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, ((sk × val0) ' + fis0) + (mkfs(class2, ty, fieldvar) ' × val) ', st) = addclass(class1, (sk × val0) ' + fis0, st), ¬ is_indexkey(sk) ∧ fs .class ≠ class1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
∀ class1, class2, ty, fieldvar, val, st. class1 = class2 ∨ addclass(class1, fis0 + (mkfs(class2, ty, fieldvar) ' × val) ', st) = addclass(class1, fis0, st) ⊦ addclass(fs .class, ((fs ' × val0) ' + fis0) + (mkfs(class2, ty, fieldvar) ' × val) ', st) = addclass(fs .class, (fs ' × val0) ' + fis0, st), fs .class = class2

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]