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Proof step 16 from proof ac-shift-03 (previous step)

∀ class, st, ty, fieldvar, val. (addclass(class, fis0, st)[jvmref -- mkfs(class, ty, fieldvar) ', val]) = addclass(class, fis0[mkfs(class, ty, fieldvar) ', val], st) ⊦ (addclass(fs .class, (fs ' × val0) ' + fis0, st)[jvmref -- mkfs(fs .class, ty, fieldvar) ', val]) = addclass(fs .class, ((fs ' × val0) ' + fis0)[mkfs(fs .class, ty, fieldvar) ', val], st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
fs = mkfs(class0, ty0, fieldvar0), ∀ class, st, ty, fieldvar, val. (addclass(class, fis0, st)[jvmref -- mkfs(class, ty, fieldvar) ', val]) = addclass(class, fis0[mkfs(class, ty, fieldvar) ', val], st) ⊦ (addclass(class0, (fs ' × val0) ' + fis0, st)[jvmref -- mkfs(class0, ty, fieldvar) ', val]) = addclass(class0, ((fs ' × val0) ' + fis0)[mkfs(class0, ty, fieldvar) ', val], st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class0, 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, class0, ty0, fieldvar0)]]