Theorems · Theorem · category theory

CategoryTheory.Arrow.augmentedCechNerve_hom_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (f : CategoryTheory.Arrow C)
  [inst_1 : ∀ (n : ℕ), CategoryTheory.Limits.HasWidePullback f.right (fun x => f.left) fun x => f.hom]
  (x : SimplexCategoryᵒᵖ), f.augmentedCechNerve.hom.app x = CategoryTheory.Limits.WidePullback.base fun x => f.hom

Defined in

Mathlib.AlgebraicTopology.CechNerve

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasWidePullback