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Proof step 15 from proof validref-putrkvs (previous step)

validvals(str, rkvs0, st), validref(str, r, ty, st), validval(str, val, ty0, st), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, validref(str, r, ty, st[r0 -- mkfs(class, ty0, fieldvar) ', val][rkvs0]), validref(str, r, ty, st[r0 -- mkfs(class, ty0, fieldvar) ', val]), (is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0)) ∧ (¬ is_referencevalue(val) → okval(val, ty0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 14:
validvals(str, rkvs0, st), validref(str, r, ty, st), okval(val, ty0) ∧ (is_referencevalue(val) → validrefval(str, val, ty0, st)), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, validref(str, r, ty, st[r0 -- mkfs(class, ty0, fieldvar) ', val][rkvs0]), validref(str, r, ty, st[r0 -- mkfs(class, ty0, fieldvar) ', val]), (is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0)) ∧ (¬ is_referencevalue(val) → okval(val, ty0))

Rule argument

[crewrite-arg: validval-def , F , [st, ty, val, str] → [st, ty0, val, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty0, val, str)]]