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Proof step 17 from proof validfield-superset (previous step)

sk .fs = mkfs(class, ty, fieldvar), st ⊆ st0, validfield(str, r, sk, st) ⊦ goodfieldandtype(r, sk, st0) ∧ type∃(str, ty) ∧ ty ≠ void_type ∧ (is_reftype(ty) → validrefval(str, st0[r -- sk], ty, st0))

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 16:
sk .fs = mkfs(class, ty, fieldvar), st ⊆ st0, 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)) ⊦ goodfieldandtype(r, sk, st0) ∧ type∃(str, ty) ∧ ty ≠ void_type ∧ (is_reftype(ty) → validrefval(str, st0[r -- sk], ty, st0))

Rule argument

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

Additional information

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