Mathlib Map

Theorems · Theorem · general topology

Filter.comap_mono

∀ {α : Type u_1} {β : Type u_2} {m : α → β}, Monotone (Filter.comap m)
Defined in
Mathlib.Order.Filter.Map
Cited by
16 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.prod_mono · cited by 14Filter.prod_monoTopology.IsOpenEmbedding.of_continuous_injective_isOpenMap · cited by 13IsOpenEmbedding.of_contin…IsUniformInducing.of_comp · cited by 5IsUniformInducing.of_compFilter.Tendsto.of_tendsto_comp · cited by 4Tendsto.of_tendsto_compUniformSpace.comap_mono · cited by 3UniformSpace.comap_monoCauchy.comap · cited by 2Cauchy.comapAbsolutelyContinuousOnInterval.uniformContinuousOn · cited by 2AbsolutelyContinuousOnInt…IsDenseInducing.tendsto_comap_nhds_nhds · cited by 2IsDenseInducing.tendsto_c…Filter.pi_mono · cited by 2Filter.pi_monocomap_uniformity_of_spaced_out · cited by 1comap_uniformity_of_space…Filter.coprod_mono · cited by 1Filter.coprod_monoFilter.coprodᵢ_mono · cited by 1Filter.coprodᵢ_monoAntilipschitzWith.comap_nhds_le · cited by 1AntilipschitzWith.comap_n…IsClosedMap.comap_nhdsSet_eq · cited by 0IsClosedMap.comap_nhdsSet…Filter.comap_eq_of_inverse · cited by 0Filter.comap_eq_of_inverseFilter · cited by 8121FilterMonotone · cited by 1397MonotoneFilter.comap · cited by 546Filter.comapGaloisConnection.monotone_u · cited by 53GaloisConnection.monotone…Filter.gc_map_comap · cited by 12Filter.gc_map_comapFilter.comap_monoCITED BYCITES

Cites5

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

Cited by16

Results whose statement or proof uses this declaration.