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Proof step 11 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), tdname+∃(str0, ty .jtelemtype .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ type∃(str, ty) ↔ ¬ has_classtype(ty) ∨ tdname+∃(str, ty .jtclass)
Proof step 10:
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), ¬ has_classtype(ty) ∨ tdname+∃(str0, ty .jtclass), jvmref ∈ st, validref(str0, r, ty, st) ⊦ ty = void_type, validref(str, r, ty, st), tdname+∃(str0, ty .jtelemtype .class)

Rule argument

[speclemmaarg: ,type∃(str, ty) ↔ ¬ has_classtype(ty) ∨ tdname+∃(str, ty .jtclass) ,[ty, str] → [ty, str0] ,F ,typefuns , ,typeex-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty, str0)]]