Theorems · Definition · category theory

CategoryTheory.Limits.Bicone.IsBilimit.isLimit

{J : Type w} →
  {C : Type uC} →
    [inst : CategoryTheory.Category.{uC', uC} C] →
      [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
        {F : J → C} → {B : CategoryTheory.Limits.Bicone F} → B.IsBilimit → CategoryTheory.Limits.IsLimit B.toCone

Structure witnessing that a bicone is both a limit cone and a colimit cocone.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

9 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms