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Proof step 22 from proof same-subclasses-contains-trans (previous step)

same-subclasses(class, str, str1), same-subclasses-contains(class, str0, str1), same-subclasses-contains(class, str, str0), contains(str1, mkclasstype(class), mkclasstype(class0)) ⊦ contains(str0, mkclasstype(class), mkclasstype(class0)), same-subclasses(class0, str, str1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ contains(str0, ty, ty0) ∧ type∃(str, ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) → contains(str, ty, ty0)
Proof step 21:
¬ ( contains(str1, mkclasstype(class), mkclasstype(class0)) ∧ type∃(str0, mkclasstype(class)) ∧ same-subclasses-contains(mkclasstype(class) .jtelemtype .class, str0, str1)), same-subclasses(class, str, str1), same-subclasses-contains(class, str0, str1), same-subclasses-contains(class, str, str0), contains(str1, mkclasstype(class), mkclasstype(class0)) ⊦ contains(str0, mkclasstype(class), mkclasstype(class0)), same-subclasses(class0, str, str1)

Rule argument

[crewrite-arg: contains-subspec-better , F , [str0, ty, ty0, str] → [str1, mkclasstype(class), mkclasstype(class0), str0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str1, mkclasstype(class), mkclasstype(class0), str0)]]