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Proof step 17 from proof contains-subex (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
ty0 .jtelemtype = mkclasstype(class), is_classtype(ty0 .jtelemtype), contains(str0, ty, ty0), ∀ class1. contains(str0, ty, mkclasstype(class1)) → tdname+∃(str, class1) ⊦ tdname+∃(str, class)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [ty0 .jtelemtype, class] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty0 .jtelemtype, class)]]