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Proof step 17 from proof contains-predefined (conclusion)

⊦ is_predefined_class(class) ∧ class ≠ `java.lang.Object' .class ∧ (∀ class0. tdname+∃(str, class0) ∧ class0 ≤ class → is_predefined_class(class0)) → ¬ contains(str, mkclasstype(class), ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
contains(str, mkclasstype(class), ty), is_predefined_class(class), ∀ class0. tdname∃(str, class0) ∧ class0 ≤ class → is_predefined_class(class0) ⊦ class = `java.lang.Object' .class

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : typefuns, , tdnameex-03, ⊦ ¬ is_predefined_class(class) → ( tdname+∃(str, class) ↔ tdname∃(str, class))])]]