Theorems · Definition · category theory

CategoryTheory.PreOneHypercover.cylinderHom

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {S : C} →
      {E : CategoryTheory.PreOneHypercover S} →
        {F : CategoryTheory.PreOneHypercover S} →
          [inst_1 : CategoryTheory.Limits.HasPullbacks C] →
            (f g : E.Hom F) → (CategoryTheory.PreOneHypercover.cylinder f g).Hom E

(Implementation): The refinement morphism cylinder f g ⟶ E.

Defined in

Mathlib.CategoryTheory.Sites.Hypercover.Homotopy

Cited by

6 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks