Theorems · Definition · category theory

CategoryTheory.Comma.fst

{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) → CategoryTheory.Functor (CategoryTheory.Comma L R) A

The functor sending an object X in the comma category to X.left.

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

76 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category