Theorems · Theorem · category theory
CategoryTheory.isCardinalFiltered_aleph0_iff
∀ (J : Type u) [inst : CategoryTheory.Category.{v, u} J],
CategoryTheory.IsCardinalFiltered J Cardinal.aleph0 ↔ CategoryTheory.IsFiltered J- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorproof · cited by 16,252
- CategoryTheory.Arrowproof · cited by 713
- Cardinal.aleph0statement and proof · cited by 521
- CategoryTheory.SmallCategoryproof · cited by 480
- Nonempty.someproof · cited by 340
- CategoryTheory.IsFilteredstatement and proof · cited by 210
- CategoryTheory.FinCategoryproof · cited by 107
- HasCardinalLTproof · cited by 99
- CategoryTheory.IsCardinalFilteredstatement and proof · cited by 69
- CategoryTheory.isFiltered_of_isCardinalFilteredproof · cited by 18
- Cardinal.fact_isRegular_aleph0statement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.IsFiltered.exists_directedproof · cited by 0