Mathlib Map

Theorems · Theorem · general topology

Filter.map_comap_setCoe_val

∀ {β : Type u_2} (f : Filter β) (s : Set β),
  Filter.map Subtype.val (Filter.comap Subtype.val f) = f ⊓ Filter.principal s
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 67 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.blimsup_eq_limsup_subtype · cited by 1Filter.blimsup_eq_limsup_…OpenPartialHomeomorph.nhds_eq_comap_inf_principal · cited by 1OpenPartialHomeomorph.nhd…Set · cited by 53352SetFilter · cited by 8121FilterFilter.map · cited by 819Filter.mapFilter.principal · cited by 740Filter.principalFilter.comap · cited by 546Filter.comapSubtype.range_val · cited by 41Subtype.range_valFilter.map_comap · cited by 10Filter.map_comapFilter.map_comap_setCoe_valCITED BYCITES

Cites7

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Cited by2

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