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Proof step 21 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), validref(str, st[jvmref -- mkfs(class, ty, fieldvar) '] .refval, ty, st[r -- mkfs(class0, ty0, fieldvar0) ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
st[jvmref -- mkfs(class, ty, fieldvar) '] = refval(r0), 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), validref(str, r0, ty, st[r -- mkfs(class0, ty0, fieldvar0) ', val])

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[jvmref -- mkfs(class, ty, fieldvar) '], r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[jvmref -- mkfs(class, ty, fieldvar) '], r0)]]