Theorems · Definition · category theory

CategoryTheory.CategoryOfElements.CreatesLimitsAux.liftedCone

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {A : CategoryTheory.Functor C (Type w)} →
      {I : Type u₁} →
        [inst_1 : CategoryTheory.Category.{v₁, u₁} I] →
          [Small.{w, u₁} I] →
            (F : CategoryTheory.Functor I A.Elements) →
              [CategoryTheory.Limits.HasLimitsOfShape I C] →
                [CategoryTheory.Limits.PreservesLimitsOfShape I A] → CategoryTheory.Limits.Cone F

(implementation) The constructed limit cone.

Defined in

Mathlib.CategoryTheory.Limits.Elements

Cited by

3 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategorySmallCategoryTheory.Limits.HasLimitsOfShapeCategoryTheory.Limits.PreservesLimitsOfShape