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 ℝ ι)} {c : ℝ} :
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