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Proof step 13 from proof same-subclasses-subclass (previous step)

tdname+∃(str0, class), class0 ≤ class, same-subclasses-contains(class, str, str0) ⊦ same-subclasses(class0, str, str0) ∧ (contains(str0, mkclasstype(class0), mkclasstype(class1)) → same-subclasses(class1, str, str0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ same-subclasses-contains(class, str, str0) ↔ same-subclasses(class, str, str0) ∧ (∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0))
Proof step 12:
tdname+∃(str0, class), class0 ≤ class, same-subclasses(class, str, str0) ∧ (∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0)) ⊦ same-subclasses(class0, str, str0) ∧ (contains(str0, mkclasstype(class0), mkclasstype(class1)) → same-subclasses(class1, str, str0))

Rule argument

[crewrite-arg: same-subclasses-all-def , F , [str0, str, class] → [str0, str, class] ]

Additional information

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