Theorems · Definition · category theory

CategoryTheory.Comma.preLeft

{A : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} A] →
    {B : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
        {T : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} T] →
            {C : Type u₄} →
              [inst_3 : CategoryTheory.Category.{v₄, u₄} C] →
                (F : CategoryTheory.Functor C A) →
                  (L : CategoryTheory.Functor A T) →
                    (R : CategoryTheory.Functor B T) →
                      CategoryTheory.Functor (CategoryTheory.Comma (F.comp L) R) (CategoryTheory.Comma L R)

The functor (F ⋙ L, R) ⥤ (L, R)

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

9 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category