Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.Cover.Arrow.base

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y : C} →
      {J : CategoryTheory.GrothendieckTopology C} → {f : Y ⟶ X} → {S : J.Cover X} → (S.pullback f).Arrow → S.Arrow

An arrow of S.pullback f gives rise to an arrow of S.

Defined in

Mathlib.CategoryTheory.Sites.Grothendieck

Cited by

6 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category