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Theorems · Theorem · general topology

Filter.NeBot.map

∀ {α : Type u_1} {β : Type u_2} {f : Filter α}, f.NeBot → ∀ (m : α → β), (Filter.map m f).NeBot
Defined in
Mathlib.Order.Filter.Map
Cited by
12 results in Mathlib
Foundations
Depth 66 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.

Cauchy.map · cited by 9Cauchy.mapFilter.Tendsto.neBot · cited by 8Tendsto.neBotuniformContinuous_uniformly_extend · cited by 6uniformContinuous_uniform…ClusterPt.map · cited by 4ClusterPt.mapMeasureTheory.measurableSet_exists_tendsto · cited by 4MeasureTheory.measurableS…Subalgebra.frontier_spectrum · cited by 2Subalgebra.frontier_spect…IsDenseInducing.extend_Z_bilin · cited by 1IsDenseInducing.extend_Z_…Filter.NeBot.neg · cited by 0NeBot.negFilter.NeBot.vadd_filter · cited by 0NeBot.vadd_filterperfectSpace_of_module · cited by 0perfectSpace_of_moduleFilter.NeBot.inv · cited by 0NeBot.invFilter.NeBot.smul_filter · cited by 0NeBot.smul_filterFilter · cited by 8121FilterFilter.NeBot · cited by 853Filter.NeBotFilter.map · cited by 819Filter.mapFilter.map_neBot_iff · cited by 12Filter.map_neBot_iffNeBot.mapCITED BYCITES

Cites4

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

Cited by12

Results whose statement or proof uses this declaration.