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Proof step 39 from proof validstatfield-putrkvs (previous step)

validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st), 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), validref(str, r, ty, st) ⊦ validvals(str, rkvs0, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)]), 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) ', refval(r)][rkvs0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ validval(str, rk, val, st) ∧ validvals(str, rkvs, st) → validvals(str, rkvs, st[rk, val])
Proof step 38:
¬ (validval(str, jvmref -- mkfs(class, ty, fieldvar) ', refval(r), st[rkvs1]) ∧ validvals(str, rkvs0, st[rkvs1])), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st), 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), validref(str, r, ty, st) ⊦ validvals(str, rkvs0, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)]), 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) ', refval(r)][rkvs0])

Rule argument

[crewrite-arg: validvals-put-any , F , [val, rk, st, rkvs, str] → [refval(r), jvmref -- mkfs(class, ty, fieldvar) ', st[rkvs1], rkvs0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (refval(r), jvmref -- mkfs(class, ty, fieldvar) ', st[rkvs1], rkvs0, str)]]