Theorems · Definition · category theory

CategoryTheory.Equalizer.FirstObj

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    CategoryTheory.Functor Cᵒᵖ (Type (max v u)) → {X : C} → CategoryTheory.Presieve X → Type (max v u)

The middle object of the fork diagram given in Equation (3) of [MM92], as well as the fork diagram of the Stacks entry.

Defined in

Mathlib.CategoryTheory.Sites.EqualizerSheafCondition

Cited by

10 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category