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Proof step 127 from proof compat-addobj (previous step)

sk .fs = mkfs(class1, ty, fieldvar), st[r0 -- _type] = typeval(mkclasstype(class0)), sk ∈ instfields(class0), r0 ∈ st, r0 -- _type ∈ st, compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), compatfields(str, r0, instfields(class0), st), class+∃(str, class0) ⊦ r0 = jvmref, r = jvmref, r0 -- sk ∈ addobj(r, class, [], st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[r0 -- sk], ty, addobj(r, class, [], st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 117:
⊦ 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 126:
sk .fs = mkfs(class1, ty, fieldvar), st[r0 -- _type] = typeval(mkclasstype(class0)), sk ∈ instfields(class0), r0 ∈ st, r0 -- _type ∈ st, compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), ∀ sk. sk ∈ instfields(class0) → r0 -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r0 -- sk], sk .fs .type, st), class+∃(str, class0) ⊦ r0 = jvmref, r = jvmref, r0 -- sk ∈ addobj(r, class, [], st) ∧ ¬ is_indexkey(sk) ∧ compat(str, st[r0 -- sk], ty, addobj(r, class, [], st))

Rule argument

[crewrite-arg: fields-compat , F , [st, sks, r, str] → [st, instfields(class0), r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, instfields(class0), r0, str)]]