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Proof step 89 from proof compat-addclass (previous step)

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))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 61:
⊦ compatfields(str, r, sks, st) ↔ (∀ sk. sk ∈ sks → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st))
Proof step 88:
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) → (∀ sk. sk ∈ statfields(class0) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, 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

[crewrite-arg: fields-compat , F , [st, sks, r, str] → [st, statfields(class0), jvmref, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, statfields(class0), jvmref, str)]]