Mathlib Map

Theorems · Theorem · general topology

Filter.EventuallyConst.comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {l : Filter α} {f : α → β},
  Filter.EventuallyConst f l → ∀ (g : β → γ), Filter.EventuallyConst (g ∘ f) l
Defined in
Mathlib.Order.Filter.EventuallyConst
Cited by
8 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Filter.EventuallyConst.of_indicator_const · cited by 1EventuallyConst.of_indica…Filter.EventuallyConst.of_mulIndicator_const · cited by 1EventuallyConst.of_mulInd…Filter.EventuallyConst.indicator_const · cited by 1EventuallyConst.indicator…AnalyticAt.analyticOrderAt_comp · cited by 1AnalyticAt.analyticOrderA…Filter.EventuallyConst.mulIndicator_const · cited by 1EventuallyConst.mulIndica…Filter.EventuallyConst.apply · cited by 0EventuallyConst.applyFilter.EventuallyConst.inv · cited by 0EventuallyConst.invFilter.EventuallyConst.neg · cited by 0EventuallyConst.negFilter · cited by 8121FilterFilter.EventuallyConst · cited by 93Filter.EventuallyConstFilter.Subsingleton.map · cited by 3Subsingleton.mapEventuallyConst.compCITED BYCITES

Cites3

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

Cited by8

Results whose statement or proof uses this declaration.