Theorems · Theorem · general topology
Filter.ker_prod
∀ {α : Type u_2} {β : Type u_3} (f : Filter α) (g : Filter β), (f ×ˢ g).ker = f.ker ×ˢ g.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.
Cites8
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
- SProd.sprodstatement · cited by 1,750
- Filter.comapproof · cited by 546
- Filter.kerstatement and proof · cited by 40
- Filter.ker_comapproof · cited by 3
- Filter.ker_infproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- nhdsKer_pairproof · cited by 1