Theorems · Definition · category theory

CategoryTheory.PreOneHypercover.cylinderf

{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) →
              {i : E.I₀} → (k : F.I₁ (f.s₀ i) (g.s₀ i)) → CategoryTheory.PreOneHypercover.cylinderX f g k ⟶ S

(Implementation): The structure morphisms of the covering objects of cylinder f g.

Defined in

Mathlib.CategoryTheory.Sites.Hypercover.Homotopy

Cited by

8 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks