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Proof step 11 from proof validfield-levelsubset (previous step)

sk .fs = mkfs(class, ty, fieldvar), type∃(str, ty), goodfieldandtype(r, sk, st), level⊆(str, str0), is_reftype(ty) → validrefval(str, st[r -- sk], ty, st) ⊦ ty = void_type, validfield(str0, r, sk, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validfield(str, r, sk, st) ↔ goodfieldandtype(r, sk, st) ∧ type∃(str, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ (is_reftype(sk .fs .type) → validrefval(str, st[r -- sk], sk .fs .type, st))
Proof step 10:
sk .fs = mkfs(class, ty, fieldvar), type∃(str, ty), goodfieldandtype(r, sk, st), level⊆(str, str0), is_reftype(ty) → validrefval(str, st[r -- sk], ty, st) ⊦ ty = void_type, goodfieldandtype(r, sk, st) ∧ type∃(str0, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ (is_reftype(sk .fs .type) → validrefval(str0, st[r -- sk], sk .fs .type, st))

Rule argument

[crewrite-arg: validfield-def , F , [st, sk, r, str] → [st, sk, r, str0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, sk, r, str0)]]