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Proof step 50 from proof validstatfield-putrkvs (previous step)

mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[jvmref -- mkfs(class, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validvals(str, rkvs0, st), validval(str, val, ty, st), is_reftype(ty) → 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_reftype(ty) → validrefval(str, val, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0])) ∧ okval(val, ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 49:
mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[jvmref -- mkfs(class, ty, fieldvar) '], ty), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validvals(str, rkvs0, st), okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st)), is_reftype(ty) → 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_reftype(ty) → validrefval(str, val, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0])) ∧ okval(val, ty)

Rule argument

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

Additional information

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