Theorems · Theorem · algebraic topology

CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_base_assoc

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (f : CategoryTheory.Arrow C)
  [inst_1 : ∀ (n : ℕ), CategoryTheory.Limits.HasWidePullback f.right (fun x => f.left) fun x => f.hom]
  (S : CategoryTheory.SplitEpi f.hom) (n : ℕ) {Z : C} (h : f.right ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s f S n)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.WidePullback.base fun x => f.hom) h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.WidePullback.base fun x => f.hom) h

Defined in

Mathlib.AlgebraicTopology.ExtraDegeneracy

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasWidePullback