Theorems · Theorem · general topology
Filter.ker_pi
∀ {ι : Type u_4} {α : ι → Type u_5} (f : (i : ι) → Filter (α i)), (Filter.pi f).ker = Set.univ.pi fun i => (f i).ker- Defined in
- Mathlib.Order.Filter.Ker
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.preimageproof · cited by 4,946
- Set.univstatement and proof · cited by 3,945
- Set.iInterproof · cited by 1,084
- Filter.comapproof · cited by 546
- Set.pistatement · cited by 405
- Set.iInter_congr_Propproof · cited by 170
- Function.evalproof · cited by 140
- Filter.pistatement · cited by 48
- Filter.kerstatement and proof · cited by 40
- Set.iInter_trueproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- nhdsKer_singleton_piproof · cited by 1