Theorems · Inductive type · category theory

CategoryTheory.StrictPseudofunctorPreCore

(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 helper structure that bundles the necessary data to construct a StrictPseudofunctor. StrictPseudofunctorPreCore does not construct a Pseudofunctor in general, since it does not include the compatibility conditions on the associator and unitors. However, when the underlying bicategories are strict, a StrictPseudofunctorPreCore does induce a StrictPseudofunctor.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor

Cited by

15 results in Mathlib

Foundations

Depth 1 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory