Theorems · Definition · algebraic geometry

AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.pullbackConeOfLeftFst

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y Z : AlgebraicGeometry.PresheafedSpace C} →
      (f : X ⟶ Z) → [hf : AlgebraicGeometry.PresheafedSpace.IsOpenImmersion f] → (g : Y ⟶ Z) → Y.restrict ⋯ ⟶ X

(Implementation.) The projection map when constructing the pullback along an open immersion.

Defined in

Mathlib.Geometry.RingedSpace.OpenImmersion

Cited by

1 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryAlgebraicGeometry.PresheafedSpace.IsOpenImmersion