Mathlib Map

Theorems · Theorem · general topology

Filter.IsBounded.mono

∀ {α : Type u_1} {r : α → α → Prop} {f g : Filter α}, f ≤ g → Filter.IsBounded r g → Filter.IsBounded r f
Defined in
Mathlib.Order.Filter.IsBounded
Cited by
7 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Filter.Tendsto.isBoundedUnder_le · cited by 25Tendsto.isBoundedUnder_leClusterPt.le_limsSup · cited by 3ClusterPt.le_limsSupFilter.Tendsto.isBoundedUnder_ge · cited by 3Tendsto.isBoundedUnder_gelimsInf_eq_of_le_nhds · cited by 2limsInf_eq_of_le_nhdsFilter.Tendsto.isBoundedUnder_ge_atTop · cited by 2Tendsto.isBoundedUnder_ge…Filter.Tendsto.isBoundedUnder_le_atBot · cited by 2Tendsto.isBoundedUnder_le…Filter.IsBoundedUnder.mono · cited by 1IsBoundedUnder.monoFilter · cited by 8121FilterSet.ofPred · cited by 6101Set.ofPredFilter.Eventually · cited by 3134Filter.EventuallyFilter.IsBounded · cited by 45Filter.IsBoundedIsBounded.monoCITED BYCITES

Cites4

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

Cited by7

Results whose statement or proof uses this declaration.