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fix(algebraic_geometry/morphisms/universally_closed): Fix docstring. (#…
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erdOne committed Oct 26, 2022
1 parent 179dcde commit a8ae1b3
Showing 1 changed file with 2 additions and 2 deletions.
4 changes: 2 additions & 2 deletions src/algebraic_geometry/morphisms/universally_closed.lean
Expand Up @@ -31,8 +31,8 @@ open category_theory.morphism_property
open algebraic_geometry.morphism_property (topologically)

/--
A morphism of schemes `f : X ⟶ Y` is locally of finite type if for each affine `U ⊆ Y` and
`V ⊆ f ⁻¹' U`, The induced map `Γ(Y, U) ⟶ Γ(X, V)` is of finite type.
A morphism of schemes `f : X ⟶ Y` is universally closed if the base change `X ×[Y] Y' ⟶ Y'`
along any morphism `Y' ⟶ Y` is (topologically) a closed map.
-/
@[mk_iff]
class universally_closed (f : X ⟶ Y) : Prop :=
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