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Theorems · Theorem · general topology

Filter.map_compose

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {m : α → β} {m' : β → γ},
  Filter.map m' ∘ Filter.map m = Filter.map (m' ∘ m)
Defined in
Mathlib.Order.Filter.Map
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses Quot.sound
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Around this declaration

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Filter.map_map · cited by 80Filter.map_mapFilter.tendsto_comap'_iff · cited by 5Filter.tendsto_comap'_iffAnalyticAt.eventually_constant_or_nhds_le_map_nhds · cited by 1AnalyticAt.eventually_con…Filter · cited by 8121FilterFilter.map · cited by 819Filter.mapFilter.filter_eq · cited by 6Filter.filter_eqFilter.map_composeCITED BYCITES

Cites3

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Cited by3

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