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Set Universe Polymorphism.
(** Tests for module subtyping of polymorphic terms *)
Module Type S.
Section Foo.
Universes i j.
Constraint i <= j.
Parameter foo : Type@{i} -> Type@{j}.
End Foo.
End S.
(** Same constraints *)
Module OK_1.
Definition foo@{i j} (A : Type@{i}) : Type@{j} := A.
End OK_1.
Module OK_1_Test : S := OK_1.
(** More general constraints *)
Module OK_2.
Inductive X@{i} : Type@{i} :=.
Definition foo@{i j} (A : Type@{i}) : Type@{j} := X@{j}.
End OK_2.
Module OK_2_Test : S := OK_2.
(** Wrong instance length *)
Module KO_1.
Definition foo@{i} (A : Type@{i}) : Type@{i} := A.
End KO_1.
Fail Module KO_Test_1 : S := KO_1.
(** Less general constraints *)
Module KO_2.
Section Foo.
Universe i j.
Constraint i < j.
Definition foo (A : Type@{i}) : Type@{j} := A.
End Foo.
End KO_2.
Fail Module KO_Test_2 : S := KO_2.
(** Less general constraints *)
Module KO_3.
Section Foo.
Universe i j.
Constraint i = j.
Definition foo (A : Type@{i}) : Type@{j} := A.
End Foo.
End KO_3.
Fail Module KO_Test_3 : S := KO_3.
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