Theorems · Definition · category theory

CategoryTheory.Equalizer.Presieve.SecondObj

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

The rightmost object of the fork diagram of the Stacks entry, which contains the data used to check a family of elements for a presieve is compatible.

Defined in

Mathlib.CategoryTheory.Sites.EqualizerSheafCondition

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Presieve.HasPairwisePullbacks