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Proof step 21 from proof ac-mode-01 (previous step)

∀ class0, st0. (addclass(class0, fis0, st0)[_mode]) = st0[_mode] ⊦ fs .class = class, (addclass(class, fis0, st)[_mode]) = st[_mode], mkfs(`java.lang.Object' .class, void_type, `mode' .field) = fs, mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fis0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
fs = mkfs(class1, ty, fieldvar), ∀ class0, st0. (addclass(class0, fis0, st0)[_mode]) = st0[_mode] ⊦ class1 = class, (addclass(class, fis0, st)[_mode]) = st[_mode], mkfs(`java.lang.Object' .class, void_type, `mode' .field) = fs, mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ∈ fis0

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class1, 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, class1, ty, fieldvar)]]