Theorems · Definition · category theory

CategoryTheory.CechNerveTerminalFrom.wideCospan.limitCone

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasTerminal C] →
      (ι : Type w) →
        [CategoryTheory.Limits.HasFiniteProducts C] →
          [Finite ι] → (X : C) → CategoryTheory.Limits.LimitCone (CategoryTheory.CechNerveTerminalFrom.wideCospan ι X)

The product Xᶥ is the vertex of a limit cone on wideCospan ι X.

Defined in

Mathlib.AlgebraicTopology.CechNerve

Cited by

1 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasTerminalCategoryTheory.Limits.HasFiniteProductsFinite