Theorems · Definition · category theory

CategoryTheory.PreZeroHypercover.sigmaOfIsColimit

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

The single object pre-0-hypercover obtained from taking the coproduct of the components.

Defined in

Mathlib.CategoryTheory.Sites.Hypercover.Zero

Cited by

9 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category