Theorems · Definition · category theory

CategoryTheory.Functor.mapCone

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {D : Type u₄} →
          [inst_2 : CategoryTheory.Category.{v₄, u₄} D] →
            (H : CategoryTheory.Functor C D) →
              {F : CategoryTheory.Functor J C} → CategoryTheory.Limits.Cone F → CategoryTheory.Limits.Cone (F.comp H)

The image of a cone in C under a functor G : C ⥤ D is a cone in D.

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

147 results in Mathlib

Foundations

Depth 30 from the axioms, rests on 115 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category