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Proof step 215 from proof contains-subspec-better (previous step)

¬ ¬ type∃(str0, ty), contains(str0, ty ' + tys + ty0 '), type∃(str, ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), has_classtype(ty), ∀ ty0, str0, str, ty, tys0. # tys0 < # tys → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ ty ∈ tys, dups(tys), contains(str, ty, ty0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 214:
has_classtype(ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), type∃(str, ty), contains(str0, ty ' + tys + ty0 '), type∃(str0, ty), ∀ ty0, str0, str, ty, tys0. # tys0 < # tys → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ contains(str, ty, ty0), dups(tys), ty ∈ tys

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]