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Proof step 20 from proof addclass-switch (previous step)

∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]), fs .class = class

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
fs = mkfs(class0, ty, fieldvar), ∀ class, st, r, i, val. addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]) ⊦ addclass(class, fis0, st[r -- i ', val]) = (addclass(class, fis0, st)[r -- i ', val]), class0 = class

Rule argument

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