Theorems · Theorem · general topology
Filter.ker_sup
∀ {α : Type u_2} (f g : Filter α), (f ⊔ g).ker = f.ker ∪ g.ker- Defined in
- Mathlib.Order.Filter.Ker
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Filter.kerstatement and proof · cited by 40
- sSup_pairproof · cited by 11
- Set.biUnion_pairproof · cited by 1
- Filter.ker_sSupproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- existsUnique_eq_principal_sup_freeproof · cited by 1
- nhdsKer_unionproof · cited by 0