Theorems · Theorem · category theory

CategoryTheory.sheafificationAdjunction_counit_app_val

∀ {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.Sheaf J D),
  ((CategoryTheory.sheafificationAdjunction J D).counit.app P).hom =
    CategoryTheory.sheafifyLift J (CategoryTheory.CategoryStruct.id P.obj) ⋯

Defined in

Mathlib.CategoryTheory.Sites.Sheafification

Cited by

4 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.HasWeakSheafify