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Theorems · Theorem · general topology

Filter.comap_iSup

∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_6} {f : ι → Filter β} {m : α → β},
  Filter.comap m (iSup f) = ⨆ i, Filter.comap m (f i)
Defined in
Mathlib.Order.Filter.Map
Cited by
4 results in Mathlib
Foundations
Depth 69 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_sup · cited by 5Filter.comap_supisClosedMap_iff_comap_nhds_le · cited by 3isClosedMap_iff_comap_nhd…Topology.IsInducing.nhdsSet_eq_comap · cited by 2IsInducing.nhdsSet_eq_com…Filter.comap_sSup · cited by 0Filter.comap_sSupFilter · cited by 8121FilteriSup · cited by 2415iSupFilter.comap · cited by 546Filter.comapGaloisConnection.l_iSup · cited by 78GaloisConnection.l_iSupFilter.gc_comap_kernMap · cited by 1Filter.gc_comap_kernMapFilter.comap_iSupCITED BYCITES

Cites5

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Cited by4

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