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Proof step 19 from proof ac-shift (previous step)

∀ class2, class1, st, ty, fieldvar, val. class2 = class1 ∨ (addclass(class1, fis0, st)[jvmref -- mkfs(class2, ty, fieldvar) ', val]) = addclass(class1, fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val]) ⊦ class2 = class1, (addclass(class1, (sk × val0) ' + fis0, st)[jvmref -- mkfs(class2, ty, fieldvar) ', val]) = addclass(class1, (sk × val0) ' + fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val]), ¬ is_indexkey(sk) ∧ sk .fs .class ≠ class1

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
sk .fs = mkfs(class, ty0, fieldvar0), ∀ class2, class1, st, ty, fieldvar, val. class2 = class1 ∨ (addclass(class1, fis0, st)[jvmref -- mkfs(class2, ty, fieldvar) ', val]) = addclass(class1, fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val]) ⊦ class2 = class1, (addclass(class1, (sk × val0) ' + fis0, st)[jvmref -- mkfs(class2, ty, fieldvar) ', val]) = addclass(class1, (sk × val0) ' + fis0, st[jvmref -- mkfs(class2, ty, fieldvar) ', val]), ¬ is_indexkey(sk) ∧ class ≠ class1

Rule argument

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