Theorems · Definition · category theory

CategoryTheory.PreOneHypercover.sigmaOfIsColimit

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {S : C} →
      (E : CategoryTheory.PreOneHypercover S) →
        {c : CategoryTheory.Limits.Cofan E.X} →
          CategoryTheory.Limits.IsColimit c →
            {d : CategoryTheory.Limits.Cofan E.Y'} →
              CategoryTheory.Limits.IsColimit d → CategoryTheory.PreOneHypercover S

The single object pre-1-hypercover obtained from taking coproducts of the components.

Defined in

Mathlib.CategoryTheory.Sites.Hypercover.One

Cited by

6 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category