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Proof step 20 from proof contains-subex (previous step)

contains(str0, ty, ty0), ∀ class1. contains(str0, ty, mkclasstype(class1)) → tdname+∃(str, class1) ⊦ type∃(str, ty0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ type∃(str, ty) ↔ ¬ has_classtype(ty) ∨ tdname+∃(str, ty .jtclass)
Proof step 19:
contains(str0, ty, ty0), ∀ class1. contains(str0, ty, mkclasstype(class1)) → tdname+∃(str, class1) ⊦ ¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .jtclass)

Rule argument

[speclemmaarg: ,type∃(str, ty) ↔ ¬ has_classtype(ty) ∨ tdname+∃(str, ty .jtclass) ,[ty, str] → [ty0, str] ,F ,typefuns , ,typeex-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty0, str)]]