Theorems · Definition · category theory

CategoryTheory.Limits.combinedIsLimit

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : Type u₁} →
      [inst_1 : CategoryTheory.Category.{v₁, u₁} J] →
        {K : Type u₂} →
          [inst_2 : CategoryTheory.Category.{v₂, u₂} K] →
            (F : CategoryTheory.Functor J (CategoryTheory.Functor K C)) →
              (c : (k : K) → CategoryTheory.Limits.LimitCone (F.flip.obj k)) →
                CategoryTheory.Limits.IsLimit (CategoryTheory.Limits.combineCones F c)

Stitching together limiting cones gives a limiting cone.

Defined in

Mathlib.CategoryTheory.Limits.FunctorCategory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category