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Module X.
(*Set Universe Polymorphism.*)
Inductive paths A (x : A) : forall _ : A, Type := idpath : paths A x x.
Notation "x = y" := (@paths _ x y) (at level 70, no associativity) : type_scope.
Axioms A B : Type.
Axiom P : A = B.
Definition foo : A = B.
abstract (rewrite <- P; reflexivity).
Defined.
End X.
Module Y.
(*Set Universe Polymorphism.*)
Inductive paths A (x : A) : forall _ : A, Type := idpath : paths A x x.
Notation "x = y" := (@paths _ x y) (at level 70, no associativity) : type_scope.
Axioms A B : Type.
Axiom P : A = B.
Definition foo : (A = B) * (A = B).
split; abstract (rewrite <- P; reflexivity).
Defined.
End Y.
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