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Proof step 5 from proof same-subclasses (previous step)

is_classtype(ty), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → tdname+∃(str, class0), same-subclasses-contains(class, str, str0), contains(str0, mkclasstype(class), ty) ⊦ type∃(str, ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_classtype(ty) ↔ (∃ class. ty = mkclasstype(class))
Proof step 4:
∃ class. ty = mkclasstype(class), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → tdname+∃(str, class0), same-subclasses-contains(class, str, str0), contains(str0, mkclasstype(class), ty) ⊦ type∃(str, ty)

Rule argument

[speclemmaarg: ,is_classtype(ty) ↔ (∃ class. ty = mkclasstype(class)) ,[ty] → [ty] ,F ,javatype , ,ex-03 ]

Additional information

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