Theorems · Definition · general topology
Compactum.join
(X : Compactum) → Ultrafilter (Ultrafilter X.A) → Ultrafilter X.A
The monadic join.
- Defined in
- Mathlib.Topology.Category.Compactum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Ultrafilterstatement and proof · cited by 193
- CategoryTheory.Monad.Algebra.Astatement and proof · cited by 81
- CategoryTheory.Monad.μproof · cited by 40
- CategoryTheory.ofTypeMonadstatement and proof · cited by 21
- Compactumstatement and proof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Compactum.str_eq_of_le_nhdsproof · cited by 2
- Compactum.join_distribstatement · cited by 1