Theorems · Definition · category theory

CategoryTheory.Bicategory.precomposing

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    (a b c : B) → CategoryTheory.Functor (a ⟶ b) (CategoryTheory.Functor (b ⟶ c) (a ⟶ c))

Precomposition of a 1-morphism as a functor from the category of 1-morphisms a ⟶ b into the category of functors (b ⟶ c) ⥤ (a ⟶ c).

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

11 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory