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Proof step 4 from proof same-subclasses (previous step)

∃ class. ty = mkclasstype(class), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → tdname+∃(str, class0), same-subclasses-contains(class, str, str0), contains(str0, mkclasstype(class), ty) ⊦ type∃(str, ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
same-subclasses-contains(class, str, str0), contains(str0, mkclasstype(class), mkclasstype(class0)), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → tdname+∃(str, class0) ⊦ tdname+∃(str, class0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)])]]