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Proof step 19 from proof same-subclasses (previous step)

same-subclasses-contains(class, str, str0), contains(str0, mkclasstype(class), ty) ⊦ type∃(str, ty)

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
same-subclasses-contains(class, str, str0) ⊦ ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → tdname+∃(str, class0)
Proof step 18:
∀ 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

[LEMMAARG : same-subclasses-01, [class, str, str0] → [class, str, str0]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class, str, str0)]]