Theorems · Definition · category theory

CategoryTheory.IsFiltered.SmallFilteredIntermediate.factoring

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.IsFilteredOrEmpty C] →
      {D : Type u₁} →
        [inst_2 : CategoryTheory.Category.{v₁, u₁} D] →
          (F : CategoryTheory.Functor D C) →
            CategoryTheory.Functor D (CategoryTheory.IsFiltered.SmallFilteredIntermediate F)

The first part of a factoring of a functor from a small category to a filtered category through a small filtered category.

Defined in

Mathlib.CategoryTheory.Filtered.Small

Cited by

1 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.IsFilteredOrEmptyCategoryTheory.Category