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Proof step 23 from proof validstatfield-put-norefval (previous step)

type∃(str, ty), jvmref ∈ st, is_reftype(ty), okval(val, ty0), 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), jvmref ≠ r ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ mkfs(class0, ty0, fieldvar0) ' = _length, ty0 = void_type, r -- mkfs(class0, ty0, fieldvar0) ' = _uninit, ty = void_type, is_referencevalue(val), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st[r -- mkfs(class0, ty0, fieldvar0) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ validrefval(str, val, ty, st) ↔ is_referencevalue(val) ∧ validref(str, val .refval, ty, st)
Proof step 22:
type∃(str, ty), jvmref ∈ st, is_reftype(ty), okval(val, ty0), 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), jvmref ≠ r ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ mkfs(class0, ty0, fieldvar0) ' = _length, ty0 = void_type, r -- mkfs(class0, ty0, fieldvar0) ' = _uninit, ty = void_type, is_referencevalue(val), is_referencevalue(st[jvmref -- mkfs(class, ty, fieldvar) ']) ∧ validref(str, st[jvmref -- mkfs(class, ty, fieldvar) '] .refval, ty, st[r -- mkfs(class0, ty0, fieldvar0) ', val])

Rule argument

[crewrite-arg: validrefval-def , F , [st, ty, val, str] → [st[r -- mkfs(class0, ty0, fieldvar0) ', val], ty, st[jvmref -- mkfs(class, ty, fieldvar) '], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class0, ty0, fieldvar0) ', val], ty, st[jvmref -- mkfs(class, ty, fieldvar) '], str)]]