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Proof step 31 from proof contains-objectarray (previous step)

ty .type .jtelemtype = mkclasstype(`java.lang.Object' .class), type∃(str, ty0), is_arraytype(ty), is_classtype(ty0) ∨ is_arraytype(ty0) ⊦ contains(str, mkclasstype(`java.lang.Object' .class), ty0), contains(str, ty, ty0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
ty = mkarraytype(ty1), ty1 .jtelemtype = mkclasstype(`java.lang.Object' .class), type∃(str, ty0), is_arraytype(ty), is_classtype(ty0) ∨ is_arraytype(ty0) ⊦ contains(str, mkclasstype(`java.lang.Object' .class), ty0), contains(str, ty, ty0)

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [ty, ty1] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (ty, ty1)]]