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Proof step 17 from proof same-subclasses (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ¬ has_classtype(ty) → type∃(str, ty)
Proof step 16:
¬ ¬ has_classtype(ty), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → tdname+∃(str, class0), same-subclasses-contains(class, str, str0), contains(str0, mkclasstype(class), ty) ⊦ is_classtype(ty), type∃(str, ty)

Rule argument

[speclemmaarg: ,¬ has_classtype(ty) → type∃(str, ty) ,[ty, str] → [ty, str] ,F ,typefuns , ,typeex ]

Additional information

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