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Theorems · Theorem · general topology

Filter.le_comap_map

∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {m : α → β}, f ≤ Filter.comap m (Filter.map m f)
Defined in
Mathlib.Order.Filter.Map
Cited by
3 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.comap_map · cited by 12Filter.comap_mapSeparationQuotient.comap_map_mk_uniformity · cited by 1SeparationQuotient.comap_…Filter.le_prod_map_fst_snd · cited by 1Filter.le_prod_map_fst_sndFilter · cited by 8121FilterFilter.map · cited by 819Filter.mapFilter.comap · cited by 546Filter.comapGaloisConnection.le_u_l · cited by 52GaloisConnection.le_u_lFilter.gc_map_comap · cited by 12Filter.gc_map_comapFilter.le_comap_mapCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.