Theorems · Inductive type · category theory

CategoryTheory.StrictlyUnitaryLaxFunctor

(B : Type u₁) →
  [CategoryTheory.Bicategory B] →
    (C : Type u₂) → [CategoryTheory.Bicategory C] → Type (max (max (max (max (max u₁ u₂) v₁) v₂) w₁) w₂)

A strictly unitary lax functor F between bicategories B and C is a lax functor F from B to C such that the structure 2-morphism 𝟙 (obj X) ⟶ map (𝟙 X) is in fact an identity 2-morphism for every X : B.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.StrictlyUnitary

Cited by

17 results in Mathlib

Foundations

Depth 1 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory