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Proof step 20 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), tdname+∃(str0, class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ tdname+∃(str0, class) ∧ ¬ tdname+∃(str, class) → ¬ same-subclasses-contains(class, str, str0)
Proof step 19:
¬ (tdname+∃(str1, class) ∧ ¬ tdname+∃(str0, class)), 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), tdname+∃(str0, class)

Rule argument

[crewrite-arg: same-subclasses-contains-tdnameex , F , [str0, str, class] → [str1, str0, class] ]

Additional information

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