Theorems · Definition · category theory

CategoryTheory.Meq.refine

{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)] →
                [inst_3 : CategoryTheory.ConcreteCategory D FD] →
                  {X : C} →
                    {P : CategoryTheory.Functor Cᵒᵖ D} →
                      {S T : J.Cover X} → CategoryTheory.Meq P T → (S ⟶ T) → CategoryTheory.Meq P S

Refine a term of Meq P T with respect to a refinement S ⟶ T of covers.

Defined in

Mathlib.CategoryTheory.Sites.ConcreteSheafification

Cited by

6 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory