Zulip Chat Archive

Stream: Is there code for X?

Topic: Volume/Measure of smul set


Gareth Ma (Jul 30 2024 at 23:23):

Is there code for the following?

theorem EuclideanSpace.volume_smul {ι : Type*} [Nonempty ι] [Fintype ι]
    {s : Set (EuclideanSpace  ι)} {c : } :
      volume (c  s) = ENNReal.ofReal c ^ Fintype.card ι * volume s := by
  sorry

If not, how should I approach proving this? I am not too familiar with proving stuff about measures. In fact, I'm not familiar with measure theory Thanks in advance

Eric Wieser (Jul 31 2024 at 00:18):

I think we have this somewhere

Eric Wieser (Jul 31 2024 at 00:20):

docs#MeasureTheory.Measure.addHaar_smul_of_nonneg ?

Eric Wieser (Jul 31 2024 at 00:20):

@loogle (_ : MeasureTheory.Measure _) (_ • _)

loogle (Jul 31 2024 at 00:21):

:search: MeasureTheory.measure_smul, MeasureTheory.measure_smul_null, and 9 more

Gareth Ma (Aug 01 2024 at 13:34):

Oops sorry I completely missed this, let me have a look

Gareth Ma (Aug 01 2024 at 13:37):

Yes perfect, thanks!

Gareth Ma (Aug 01 2024 at 13:37):

I kept looking for volume.+smul


Last updated: May 02 2025 at 03:31 UTC