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Proof step 48 from proof validstatfield-putrkvs (previous step)

is_reftype(ty), 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) ']), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validvals(str, rkvs0, st), is_referencevalue(val), validrefval(str, val, ty, st), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs0, validrefval(str, val, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ validrefval(str, val, ty, st) ↔ is_referencevalue(val) ∧ validref(str, val .refval, ty, st)
Proof step 47:
is_reftype(ty), 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) ']), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validvals(str, rkvs0, st), is_referencevalue(val), validrefval(str, val, ty, st), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs0, is_referencevalue(val) ∧ validref(str, val .refval, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0])

Rule argument

[crewrite-arg: validrefval-def , F , [st, ty, val, str] → [st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0], ty, val, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val] [rkvs0 ], ty, val, str)]]