Theorems · Inductive type · category theory

CategoryTheory.StrictlyUnitaryPseudofunctor

(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 pseudofunctor (sometimes called a "normal homomorphism") F between bicategories B and C is a pseudofunctor F from B to C such that the structure isomorphism map (𝟙 X) ≅ 𝟙 (F.obj X) is in fact an identity 2-isomorphism for every X : B (in particular, there is an equality F.map (𝟙 X) = 𝟙 (F.obj X)).

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.StrictlyUnitary

Cited by

20 results in Mathlib

Foundations

Depth 1 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory