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Proof step 46 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, validref(str, val .refval, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 45:
val = refval(r), 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, validref(str, r, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', val][rkvs0])

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [val, r] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (val, r)]]