Theorems · Theorem · measure theory

MonoidHom.exists_nhds_isBounded

∀ {G : Type u_1} {H : Type u_2} [inst : MeasurableSpace G] [inst_1 : Group G] [inst_2 : TopologicalSpace G]
  [IsTopologicalGroup G] [BorelSpace G] [LocallyCompactSpace G] [inst_6 : MeasurableSpace H]
  [inst_7 : SeminormedGroup H] [OpensMeasurableSpace H] (f : G →* H),
  Measurable ⇑f → ∀ (x : G), ∃ s ∈ nhds x, Bornology.IsBounded (⇑f '' s)

Defined in

Mathlib.MeasureTheory.Measure.Haar.NormedSpace

Cited by

0 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceGroupTopologicalSpaceIsTopologicalGroupBorelSpaceLocallyCompactSpaceMeasurableSpaceSeminormedGroupOpensMeasurableSpace