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Proof step 13 from proof validstatfield-subspec-samesubclasses (previous step)

st[jvmref -- mkfs(class, ty, fieldvar) '] = refval(r), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, initdone(class, st), tdname∃(str0, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), type∃(str, ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), is_reftype(ty), type∃(str0, ty), jvmref ∈ st, validref(str0, r, ty, st) ⊦ ty = void_type, validref(str, r, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ validref(str0, r, ty, st) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ tdname+∃(str0, ty .jtelemtype .class) → validref(str, r, ty, st)
Proof step 12:
¬ (validref(str0, r, ty, st) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ tdname+∃(str0, ty .jtelemtype .class)), st[jvmref -- mkfs(class, ty, fieldvar) '] = refval(r), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, initdone(class, st), tdname∃(str0, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), type∃(str, ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), is_reftype(ty), type∃(str0, ty), jvmref ∈ st, validref(str0, r, ty, st) ⊦ ty = void_type, validref(str, r, ty, st)

Rule argument

[crewrite-arg: validref-subspec-samesubclasses-01 , F , [str0, r, ty, st, str] → [str0, r, ty, st, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str0, r, ty, st, str)]]