Theorems · Definition · category theory

CategoryTheory.Meq

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {D : Type w} →
        [inst_1 : CategoryTheory.Category.{w', w} D] →
          {FD : D → D → Type u_1} →
            {CD : D → Type t} →
              [inst_2 : (X Y : D) → FunLike (FD X Y) (CD X) (CD Y)] →
                [CategoryTheory.ConcreteCategory D FD] →
                  {X : C} → CategoryTheory.Functor Cᵒᵖ D → J.Cover X → Type (max 0 (max t u) v)

A concrete version of the multiequalizer, to be used below.

Defined in

Mathlib.CategoryTheory.Sites.ConcreteSheafification

Cited by

17 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory