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Proof step 116 from proof compat-addclass (previous step)

fis .keys = statfields(`java.lang.Object' .class), sk ∈ statfields(class0), tdname∃(str, class0), initdone(class0, addclass(`java.lang.Object' .class, fis, st)), okfieldinits(`java.lang.Object' .class, fis), compatrefs(str, st), compatmode(str, st) ⊦ `java.lang.Object' .class = class0, initdone(class0, st), jvmref -- sk ∈ addclass(`java.lang.Object' .class, fis, st) ∧ ¬ is_indexkey(sk) ∧ compat(str, addclass(`java.lang.Object' .class, fis, st)[jvmref -- sk], sk .fs .type, addclass(`java.lang.Object' .class, fis, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 115:
sk .fs = mkfs(class, ty, fieldvar), fis .keys = statfields(`java.lang.Object' .class), sk ∈ statfields(class0), tdname∃(str, class0), initdone(class0, addclass(`java.lang.Object' .class, fis, st)), okfieldinits(`java.lang.Object' .class, fis), compatrefs(str, st), compatmode(str, st) ⊦ `java.lang.Object' .class = class0, initdone(class0, st), jvmref -- sk ∈ addclass(`java.lang.Object' .class, fis, st) ∧ ¬ is_indexkey(sk) ∧ compat(str, addclass(`java.lang.Object' .class, fis, st)[jvmref -- sk], ty, addclass(`java.lang.Object' .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, class, 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, class, ty, fieldvar)]]