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Proof step 96 from proof compat-addobj (previous step)

sk .fs = mkfs(class1, ty, fieldvar), sk ∈ statfields(class0), compatrefs(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), tdname∃(str, class0), initdone(class0, st), class∃(str, class0) ∨ interface∃(str, class0) → compatfields(str, jvmref, statfields(class0), st) ⊦ r = jvmref, jvmref -- sk ∈ st ∧ ¬ is_indexkey(sk) ∧ compat(str, st[jvmref -- sk], ty, addobj(r, class, [], st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 71:
⊦ 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 95:
sk .fs = mkfs(class1, ty, fieldvar), sk ∈ statfields(class0), compatrefs(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), tdname∃(str, class0), initdone(class0, st), 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)) ⊦ r = jvmref, jvmref -- sk ∈ st ∧ ¬ is_indexkey(sk) ∧ compat(str, st[jvmref -- sk], ty, addobj(r, class, [], 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)]]