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Proof step 31 from proof validstatfield-putrkvs (previous step)

validref(str, r, ty, st), validvals(str, rkvs0, st), validvals(str, rkvs1, st), jvmref ∈ st, type∃(str, ty), is_referencevalue(st[jvmref -- mkfs(class, ty, fieldvar) ']), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, initdone(class, st), tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), is_reftype(ty), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, validref(str, r, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)][rkvs0]), jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs0, validvals(str, rkvs0, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)]), validval(str, jvmref -- mkfs(class, ty, fieldvar) ', refval(r), st[rkvs1]), validval(str, refval(r), ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 30:
⊦ validrefval(str, refval(r), ty, st) ↔ validref(str, r, ty, st)

Rule argument

[crewrite-arg: validval-def , F , [st, ty, val, str] → [st, ty, refval(r), str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])], [EXTRATERMS : (st, ty, refval(r), str)]]