Theorems · Definition · category theory

CategoryTheory.StructuredArrow.proj

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (S : D) → (T : CategoryTheory.Functor C D) → CategoryTheory.Functor (CategoryTheory.StructuredArrow S T) C

The obvious projection functor from structured arrows.

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

59 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category