Theorems · Definition · category theory

CategoryTheory.PreOneHypercover.toPullback

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {S : C} →
      (E : CategoryTheory.PreOneHypercover S) →
        {i₁ i₂ : E.I₀} →
          [inst_1 : CategoryTheory.Limits.HasPullback (E.f i₁) (E.f i₂)] →
            (j : E.I₁ i₁ i₂) → E.Y j ⟶ CategoryTheory.Limits.pullback (E.f i₁) (E.f i₂)

The obvious morphism E.Y j ⟶ pullback (E.f i₁) (E.f i₂) given by E : PreOneHypercover S.

Defined in

Mathlib.CategoryTheory.Sites.Hypercover.One

Cited by

16 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullback