Theorems · Theorem · category theory
CategoryTheory.IsCardinalFiltered.of_le
∀ (J : Type u) [inst : CategoryTheory.Category.{v, u} J] {κ : Cardinal.{w}} [hκ : Fact κ.IsRegular]
[CategoryTheory.IsCardinalFiltered J κ] {κ' : Cardinal.{w}} [inst_2 : Fact κ'.IsRegular],
κ' ≤ κ → CategoryTheory.IsCardinalFiltered J κ'- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Factstatement and proof · cited by 2,726
- Cardinalstatement and proof · cited by 2,598
- CategoryTheory.Arrowproof · cited by 713
- CategoryTheory.SmallCategoryproof · cited by 480
- Cardinal.IsRegularstatement and proof · cited by 282
- HasCardinalLTproof · cited by 99
- CategoryTheory.IsCardinalFilteredstatement and proof · cited by 69
- CategoryTheory.IsCardinalFiltered.coconeproof · cited by 5
- HasCardinalLT.of_leproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.