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Proof step 2 from proof validref-put-any (previous step)

validref(str, r, ty, st), is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0), ¬ is_referencevalue(val) → okval(val, ty0) ∧ ty0 ≠ void_type ∧ mkfs(class, ty0, fieldvar) ' ≠ _length ⊦ validref(str, r, ty, st[r0 -- mkfs(class, ty0, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validref(str, r, ty, st) ∧ is_fskey(sk) ∧ (is_referencevalue(val) → validref(str, val .refval, sk .fs .type, st) ∧ is_reftype(sk .fs .type)) ∧ (¬ is_referencevalue(val) → is_fskey(sk) ∧ okval(val, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length) → validref(str, r, ty, st[r0 -- sk, val])

Rule argument

[crewrite-arg: validref-put-field-any , F , [val, sk, r0, st, ty, r, str] → [val, mkfs(class, ty0, fieldvar) ', r0, st, ty, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (val, mkfs(class, ty0, fieldvar) ', r0, st, ty, r, str)]]