Theorems · Inductive type · category theory

CategoryTheory.PrelaxFunctor

(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 prelax functor between bicategories is a lax prefunctor such that map₂ is a functor. This structure will be extended to define LaxFunctor and OplaxFunctor.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Prelax

Cited by

48 results in Mathlib

Foundations

Depth 1 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory