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Proof step 26 from proof ac-bad-01 (previous step)

is_indexkey(fv .1), ∀ 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)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 25:
fv = sk × val0, is_indexkey(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, fis0 + (mkfs(class2, ty, fieldvar) ' × val) ', st) = addclass(class1, fis0, st)

Rule argument

[speclemmaarg: ,sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val ,[fv, sk, val] → [fv, sk, val0] ,T ,pair ,fieldinit ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk, val0)]]