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Proof step 32 from proof contains-objectarray (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(ty) → ty .jtelemtype = ty .type .jtelemtype])]]