Theorems · Theorem · category theory

CategoryTheory.PreOneHypercover.Homotopy.map_eq_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C) {S : C}
  {E F : J.OneHypercover S} {f g : E ⟶ F} (H : CategoryTheory.PreOneHypercover.Homotopy f g),
  (CategoryTheory.GrothendieckTopology.OneHypercover.toHOneHypercover J S).map f =
    (CategoryTheory.GrothendieckTopology.OneHypercover.toHOneHypercover J S).map g

Defined in

Mathlib.CategoryTheory.Sites.Hypercover.Homotopy

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.Category