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Proof step 4 from proof same-subclasses-subclass (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ contains(str, ty, ty1) ∧ ty ≤ ty0 ∧ type∃(str, ty0) → contains(str, ty0, ty1)

Rule argument

[crewrite-arg: contains-supertype-04 , F , [str, ty, ty1, ty0] → [str0, mkclasstype(class0), mkclasstype(class1), mkclasstype(class)] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)])], [EXTRATERMS : (str0, mkclasstype(class0), mkclasstype(class1), mkclasstype(class))]]