Theorems · Theorem · general topology
Filter.gc_map_comap
∀ {α : Type u_1} {β : Type u_2} (m : α → β), GaloisConnection (Filter.map m) (Filter.comap m)- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.mapstatement · cited by 819
- Filter.comapstatement · cited by 546
- GaloisConnectionstatement · cited by 253
- Filter.map_le_iff_le_comapproof · cited by 19
Cited by12
Results whose statement or proof uses this declaration.
- Filter.map_monoproof · cited by 63
- Filter.comap_infproof · cited by 33
- Filter.comap_iInfproof · cited by 23
- Filter.map_botproof · cited by 16
- Filter.comap_monoproof · cited by 16
- Filter.map_comap_leproof · cited by 10
- Filter.comap_topproof · cited by 5
- Filter.map_supproof · cited by 5
- Filter.map_iSupproof · cited by 4
- Filter.le_comap_mapproof · cited by 3
- Filter.smallSets_comap_eq_comap_imageproof · cited by 1
- Filter.map_sumElim_eqproof · cited by 0