Theorems · Definition · category theory

CategoryTheory.Limits.pointwiseBinaryBicone.isBilimit

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      [inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] →
        {D : Type u_2} →
          [inst_3 : CategoryTheory.Category.{v_2, u_2} D] →
            (F G : CategoryTheory.Functor D C) → (CategoryTheory.Limits.pointwiseBinaryBicone F G).IsBilimit

The bicone associated with F and G is a bilimit bicone.

Defined in

Mathlib.CategoryTheory.Limits.FunctorCategory.BinaryBiproducts

Cited by

2 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproductsCategoryTheory.Category