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Proof step 222 from proof contains-subspec-better (previous step)

has_classtype(ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), type∃(str, ty), contains(str0, ty, ty0) ⊦ contains(str, ty, ty0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ contains(str, ty, ty0) ↔ (∃ tys. contains(str, ty ' + (tys + ty0)) ∧ ¬ dups(ty ' + tys))
Proof step 221:
has_classtype(ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), type∃(str, ty), ∃ tys. contains(str0, ty ' + (tys + ty0)) ∧ ¬ dups(ty ' + tys) ⊦ contains(str, ty, ty0)

Rule argument

[crewrite-arg: contains-type-def-nodups , F , [ty0, ty, str] → [ty0, ty, str0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty0, ty, str0)]]