Theorems · Theorem · category theory

CategoryTheory.PreZeroHypercover.sectionsEquivOfHasPullbacks_symm_apply_val

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {S : C} (E : CategoryTheory.PreZeroHypercover S)
  [inst_1 : E.HasPullbacks] (F : CategoryTheory.Functor Cᵒᵖ (Type u_2))
  (s : Subtype (CategoryTheory.Presieve.Arrows.Compatible F E.f)) (i : E.I₀),
  ((E.sectionsEquivOfHasPullbacks F).symm s).val i = ↑s i

Defined in

Mathlib.CategoryTheory.Sites.Hypercover.SheafOfTypes

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreZeroHypercover.HasPullbacks