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Theorems · Theorem · general topology

Filter.Subsingleton.map

∀ {α : Type u_1} {β : Type u_2} {l : Filter α}, l.Subsingleton → ∀ (f : α → β), (Filter.map f l).Subsingleton
Defined in
Mathlib.Order.Filter.Subsingleton
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.EventuallyConst.comp · cited by 8EventuallyConst.compFilter.EventuallyConst.comp₂ · cited by 3EventuallyConst.comp₂Filter.EventuallyConst.of_subsingleton_left · cited by 0EventuallyConst.of_subsin…Set · cited by 53352SetFilter · cited by 8121FilterSet.image · cited by 5609Set.imageFilter.map · cited by 819Filter.mapSet.Subsingleton · cited by 276Set.SubsingletonFilter.image_mem_map · cited by 39Filter.image_mem_mapFilter.Subsingleton · cited by 15Filter.SubsingletonSet.Subsingleton.image · cited by 14Subsingleton.imageSubsingleton.mapCITED BYCITES

Cites8

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

Cited by3

Results whose statement or proof uses this declaration.