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Proof step 19 from proof addclass-switch-01 (previous step)

∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ r = jvmref, addclass(class, (sk0 × val0) ' + fis0, st[r -- sk, val]) = (addclass(class, (sk0 × val0) ' + fis0, st)[r -- sk, val]), ¬ is_indexkey(sk0) ∧ sk0 .fs .class ≠ class

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
sk0 .fs = mkfs(class0, ty, fieldvar), ∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ r = jvmref, addclass(class, (sk0 × val0) ' + fis0, st[r -- sk, val]) = (addclass(class, (sk0 × val0) ' + fis0, st)[r -- sk, val]), ¬ is_indexkey(sk0) ∧ class0 ≠ class

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk0 .fs, class0, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk0 .fs, class0, ty, fieldvar)]]