Theorems · Definition · category theory

CategoryTheory.CommaMorphism.left

{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] →
            {L : CategoryTheory.Functor A T} →
              {R : CategoryTheory.Functor B T} →
                {X Y : CategoryTheory.Comma L R} → CategoryTheory.CommaMorphism X Y → (X.left ⟶ Y.left)

Morphism on left objects

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

526 results in Mathlib

Foundations

Depth 4 from the axioms, rests on 11 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category