Theorems · Theorem · general topology
Filter.map_comap_le
∀ {α : Type u_1} {β : Type u_2} {g : Filter β} {m : α → β}, Filter.map m (Filter.comap m g) ≤ g- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 62 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
- GaloisConnection.l_u_leproof · cited by 36
- Filter.gc_map_comapproof · cited by 12
Cited by10
Results whose statement or proof uses this declaration.
- Filter.tendsto_comapproof · cited by 30
- Filter.map_comapproof · cited by 10
- Filter.push_pullproof · cited by 7
- IsDenseInducing.tendsto_comap_nhds_nhdsproof · cited by 2
- tendsto_prod_uniformity_fstproof · cited by 1
- tendsto_prod_uniformity_sndproof · cited by 1
- Ultrafilter.ofComapInfPrincipal_eq_of_mapproof · cited by 0
- completeSpace_extensionproof · cited by 0
- Filter.comap_le_comap_iffproof · cited by 0
- Filter.totallyBounded_comapproof · cited by 0