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Theorems · Theorem · measure theory

MeasureTheory.OuterMeasure.boundedBy_le

∀ {α : Type u_1} {m : Set α → ENNReal} (s : Set α), (MeasureTheory.OuterMeasure.boundedBy m) s ≤ m s
Defined in
Mathlib.MeasureTheory.OuterMeasure.OfFunction
Cited by
5 results in Mathlib
Foundations
Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

MeasureTheory.OuterMeasure.mkMetric'.pre_le · cited by 3mkMetric'.pre_leMeasureTheory.OuterMeasure.mkMetric_mono_smul · cited by 2OuterMeasure.mkMetric_mon…MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen · cited by 2OuterMeasure.sInf_eq_boun…MeasureTheory.OuterMeasure.pi_pi_le · cited by 1OuterMeasure.pi_pi_leMeasureTheory.OuterMeasure.boundedBy_zero · cited by 0OuterMeasure.boundedBy_ze…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetENNReal · cited by 9879ENNRealLE.le.trans · cited by 3151le.transMeasureTheory.OuterMeasure · cited by 287MeasureTheory.OuterMeasureMeasureTheory.OuterMeasure.boundedBy · cited by 21OuterMeasure.boundedByMeasureTheory.OuterMeasure.ofFunction_le · cited by 10OuterMeasure.ofFunction_leiSup_const_le · cited by 5iSup_const_leOuterMeasure.boundedBy_leCITED BYCITES

Cites8

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

Cited by5

Results whose statement or proof uses this declaration.