Theorems · Definition · general topology
Filter.giPrincipalKer
{α : Type u_2} → GaloisCoinsertion Filter.principal Filter.kerFilter.principal forms a Galois coinsertion with Filter.ker.
- Defined in
- Mathlib.Order.Filter.Ker
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 64 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.principalstatement · cited by 740
- Filter.kerstatement · cited by 40
- GaloisCoinsertionstatement · cited by 35
- GaloisConnection.toGaloisCoinsertionproof · cited by 0
Cited by9
Results whose statement or proof uses this declaration.
- Filter.ker_principalproof · cited by 3
- Filter.ker_iInfproof · cited by 2
- Filter.ker_monoproof · cited by 2
- Filter.ker_eq_univproof · cited by 1
- Filter.ker_infproof · cited by 1
- Filter.gi_principal_kerproof · cited by 0
- Filter.ker_sInfproof · cited by 0
- Filter.ker_surjectiveproof · cited by 0
- Filter.ker_topproof · cited by 0