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Proof step 90 from proof compat-addclass (previous step)

fis .keys = statfields(class), sk ∈ statfields(class0), initdone(class0, st), compatmode(str, st), compatrefs(str, st), okfieldinits(class, fis), initdone(class0, addclass(class, fis, st)), tdname∃(str, class0), class∃(str, class0) ∨ interface∃(str, class0) → compatfields(str, jvmref, statfields(class0), st) ⊦ class = class0, jvmref -- sk ∈ addclass(class, fis, st) ∧ ¬ is_indexkey(sk) ∧ compat(str, addclass(class, fis, st)[jvmref -- sk], sk .fs .type, addclass(class, fis, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 89:
sk .fs = mkfs(class1, ty, fieldvar), fis .keys = statfields(class), sk ∈ statfields(class0), initdone(class0, st), compatmode(str, st), compatrefs(str, st), okfieldinits(class, fis), initdone(class0, addclass(class, fis, st)), tdname∃(str, class0), class∃(str, class0) ∨ interface∃(str, class0) → compatfields(str, jvmref, statfields(class0), st) ⊦ class = class0, jvmref -- sk ∈ addclass(class, fis, st) ∧ ¬ is_indexkey(sk) ∧ compat(str, addclass(class, fis, st)[jvmref -- sk], ty, addclass(class, fis, st))

Rule argument

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