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Proof step 7 from proof validfield-one (previous step)

sk .fs = mkfs(class, ty, fieldvar), type∃(str, ty) ⊦ goodfieldandtype(r, sk, st) ∧ (is_reftype(ty) → validrefval(str, st[r -- sk], ty, st)) ↔ ¬ is_indexkey(sk) ∧ r -- sk ∈ st ∧ validval(str, st[r -- sk], ty, st), ty = void_type

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 6:
sk .fs = mkfs(class, ty, fieldvar), type∃(str, ty) ⊦ goodfieldandtype(r, sk, st) ∧ (is_reftype(ty) → validrefval(str, st[r -- sk], ty, st)) ↔ ¬ is_indexkey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], ty) ∧ (is_referencevalue(st[r -- sk]) → validrefval(str, st[r -- sk], ty, st)), ty = void_type

Rule argument

[crewrite-arg: validval-def , F , [st, ty, val, str] → [st, ty, st[r -- sk], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, st[r -- sk], str)]]