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Theorems · Theorem · measure theory

measurableEmbedding_const_smul

∀ {G : Type u_1} {α : Type u_3} [inst : MeasurableSpace α] [inst_1 : Group G] [inst_2 : MulAction G α]
  [MeasurableConstSMul G α] (c : G), MeasurableEmbedding fun x => c • x
Defined in
Mathlib.MeasureTheory.Group.MeasurableEquiv
Cited by
6 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
MeasurableSpaceGroupMulActionMeasurableConstSMul
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Around this declaration

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

MeasureTheory.IsFundamentalDomain.setLIntegral_eq_tsum' · cited by 2IsFundamentalDomain.setLI…MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum' · cited by 1IsFundamentalDomain.setIn…MeasureTheory.IsFundamentalDomain.lintegral_eq_tsum' · cited by 1IsFundamentalDomain.linte…MeasureTheory.IsFundamentalDomain.integral_eq_tsum' · cited by 1IsFundamentalDomain.integ…MeasureTheory.IsFundamentalDomain.aestronglyMeasurable_on_iff · cited by 1IsFundamentalDomain.aestr…MeasureTheory.smulInvariantMeasure_tfae · cited by 0MeasureTheory.smulInvaria…MeasurableSpace · cited by 13106MeasurableSpaceGroup · cited by 6238GroupMulAction · cited by 1294MulActionMeasurableEmbedding · cited by 170MeasurableEmbeddingMeasurableConstSMul · cited by 92MeasurableConstSMulMeasurableEquiv.measurableEmbedding · cited by 60MeasurableEquiv.measurabl…MeasurableEquiv.smul · cited by 7MeasurableEquiv.smulmeasurableEmbedding_const_smulCITED BYCITES

Cites7

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

Cited by6

Results whose statement or proof uses this declaration.