Theorems · Definition · category theory

CategoryTheory.Localization.Construction.liftToPathCategory

{C : Type uC} →
  [inst : CategoryTheory.Category.{uC', uC} C] →
    {W : CategoryTheory.MorphismProperty C} →
      {D : Type uD} →
        [inst_1 : CategoryTheory.Category.{uD', uD} D] →
          (G : CategoryTheory.Functor C D) →
            W.IsInvertedBy G →
              CategoryTheory.Functor (CategoryTheory.Paths (CategoryTheory.Localization.Construction.LocQuiver W)) D

The lifting of a functor to the path category of LocQuiver W

Defined in

Mathlib.CategoryTheory.Localization.Construction

Cited by

4 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Category