Theorems · Theorem · category theory

CategoryTheory.FinallySmall.exists_of_isFiltered

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.IsFiltered C]
  [CategoryTheory.LocallySmall.{w, v, u} C] [CategoryTheory.FinallySmall C],
  ∃ D x, ∃ (_ : CategoryTheory.IsFiltered D), ∃ F, F.Final

Defined in

Mathlib.CategoryTheory.Filtered.FinallySmall

Cited by

1 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.IsFilteredCategoryTheory.LocallySmallCategoryTheory.FinallySmall