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Proof step 8 from proof validstatfield-union (previous step)

type∃(str, ty), jvmref ∈ st0, is_reftype(ty), tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), initdone(class, st0), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st0, is_referencevalue(st0[jvmref -- mkfs(class, ty, fieldvar) ']), validrefval(str, st0[jvmref -- mkfs(class, ty, fieldvar) '], ty, st0) ⊦ ty = void_type, jvmref ∈ st, validrefval(str, st0[jvmref -- mkfs(class, ty, fieldvar) '], ty, st ∪ st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ validrefval(str, val, ty, st) → validrefval(str, val, ty, st0 ∪ st)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validrefval-union antecedent: succedent: validrefval(str, val, ty, st) → validrefval(str, val, ty, st0 ∪ st) substlist: [st, st0, ty, val, str] → [st0, st, ty, st0[jvmref -- mkfs(class, ty, fieldvar) '], str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, st, ty, st0[jvmref -- mkfs(class, ty, fieldvar) '], str)]]