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Proof step 7 from proof validref-put-field-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:
⊦ is_referencevalue(val) ∧ validref(str, val .refval, fs .type, st) ∧ validref(str, r, ty, st) ∧ is_reftype(fs .type) → validref(str, r, ty, st[r0 -- fs ', val])
Proof step 6:
¬ ( is_referencevalue(val) ∧ validref(str, val .refval, mkfs(class, ty0, fieldvar) .type, st) ∧ validref(str, r, ty, st) ∧ is_reftype(mkfs(class, ty0, fieldvar) .type)), 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])

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, mkfs(class, ty0, fieldvar), r0, st, ty, r, str)]]