Theorems · Definition · category theory

CategoryTheory.FinallySmall.fromFilteredFinalModel

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.IsFiltered C] →
      [inst_2 : CategoryTheory.LocallySmall.{w, v, u} C] →
        [inst_3 : CategoryTheory.FinallySmall C] →
          CategoryTheory.Functor (CategoryTheory.FinallySmall.FilteredFinalModel C) C

If C is a locally small filtered finally small category, this is a final functor from a small filtered category.

Defined in

Mathlib.CategoryTheory.Filtered.FinallySmall

Cited by

2 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.IsFilteredCategoryTheory.LocallySmallCategoryTheory.FinallySmall