Theorems · Definition · category theory

CategoryTheory.Limits.Bicone.IsBilimit.casesOn

{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} →
            {motive : B.IsBilimit → Sort u} →
              (t : B.IsBilimit) →
                ((isLimit : CategoryTheory.Limits.IsLimit B.toCone) →
                    (isColimit : CategoryTheory.Limits.IsColimit B.toCocone) →
                      motive { isLimit := isLimit, isColimit := isColimit }) →
                  motive t

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms