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Proof step 113 from proof compat-addclass (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 107:
fs ' .fs = mkfs(class, ty, fieldvar), compatmode(str, st), compatrefs(str, st), initdone(class0, addclass(`java.lang.Object' .class, [], st)), tdname∃(str, class0), fs ' ∈ statfields(class0) ⊦ `java.lang.Object' .class = class0, initdone(class0, st), jvmref -- fs ' ∈ addclass(`java.lang.Object' .class, [], st) ∧ ¬ is_indexkey(fs ') ∧ compat(str, addclass(`java.lang.Object' .class, [], st)[jvmref -- fs '], ty, addclass(`java.lang.Object' .class, [], st))
Proof step 112:
i ' .fs = mkfs(class, ty, fieldvar), compatmode(str, st), compatrefs(str, st), initdone(class0, addclass(`java.lang.Object' .class, [], st)), tdname∃(str, class0), i ' ∈ statfields(class0) ⊦ `java.lang.Object' .class = class0, initdone(class0, st), jvmref -- i ' ∈ addclass(`java.lang.Object' .class, [], st) ∧ ¬ is_indexkey(i ') ∧ compat(str, addclass(`java.lang.Object' .class, [], st)[jvmref -- i '], ty, addclass(`java.lang.Object' .class, [], st))

Rule argument

[VARWITHVARSEQSARG : sk, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : storekey generated by ', ';])]]