Theorems · Theorem · category theory

CategoryTheory.isoSheafify_inv

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (J : CategoryTheory.GrothendieckTopology C) {D : Type u_1}
  [inst_1 : CategoryTheory.Category.{v_1, u_1} D] [inst_2 : CategoryTheory.HasWeakSheafify J D]
  {P : CategoryTheory.Functor Cᵒᵖ D} (hP : CategoryTheory.Presheaf.IsSheaf J P),
  (CategoryTheory.isoSheafify J hP).inv = CategoryTheory.sheafifyLift J (CategoryTheory.CategoryStruct.id P) hP

Defined in

Mathlib.CategoryTheory.Sites.Sheafification

Cited by

1 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.HasWeakSheafify