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Proof step 66 from proof validstatfield-putrkvs (previous step)

type∃(str, ty), jvmref ∈ st, is_reftype(ty), validvals(str, rkvs, st), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, is_referencevalue(st[jvmref -- mkfs(class, ty, fieldvar) ']), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ ty = void_type, _uninit ∈ rkvs, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs, validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st[rkvs])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 59:
⊦ validrefval(str, val, ty, st) ↔ is_referencevalue(val) ∧ validref(str, val .refval, ty, st)
Proof step 65:
type∃(str, ty), jvmref ∈ st, is_reftype(ty), validvals(str, rkvs, st), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, is_referencevalue(st[jvmref -- mkfs(class, ty, fieldvar) ']), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ ty = void_type, _uninit ∈ rkvs, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs, is_referencevalue(st[jvmref -- mkfs(class, ty, fieldvar) ']) ∧ validref(str, st[jvmref -- mkfs(class, ty, fieldvar) '] .refval, ty, st[rkvs])

Rule argument

[crewrite-arg: validrefval-def , F , [st, ty, val, str] → [st[rkvs], ty, st[jvmref -- mkfs(class, ty, fieldvar) '], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[rkvs], ty, st[jvmref -- mkfs(class, ty, fieldvar) '], str)]]