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Theorems · Theorem · measure theory

MeasureTheory.Measure.zero_le

∀ {α : Type u_1} {_m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α), 0 ≤ μ
Defined in
Mathlib.MeasureTheory.Measure.MeasureSpace
Cited by
5 results in Mathlib
Foundations
Depth 197 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.Measure.withDensity_rnDeriv_le · cited by 9Measure.withDensity_rnDer…MeasureTheory.Measure.singularPart_le · cited by 7Measure.singularPart_leMeasureTheory.VectorMeasure.integral_add_cbm · cited by 2VectorMeasure.integral_ad…MeasureTheory.Measure.nonpos_iff_eq_zero' · cited by 2Measure.nonpos_iff_eq_zer…MeasureTheory.Measure.zero_sub · cited by 0Measure.zero_subMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.Measurebot_le · cited by 306bot_leMeasure.zero_leCITED BYCITES

Cites3

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.