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Proof step 57 from proof compat-addclass (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 56:
fis .keys = statfields(class0), sk ∈ statfields(class0), compatmode(str, st), compatrefs(str, st), okfieldinits(class0, fis), initdone(class0, addclass(class0, fis, st)), tdname∃(str, class0), (class∃(str, class0) ∨ interface∃(str, class0)) ∧ initdone(class0, st) → compatfields(str, jvmref, statfields(class0), st) ⊦ jvmref -- sk ∈ addclass(class0, fis, st) ∧ ¬ is_indexkey(sk) ∧ compat(str, addclass(class0, fis, st)[jvmref -- sk], sk .fs .type, addclass(class0, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]