Theorems · Theorem · measure theory
MeasureTheory.MeasuredSets.real_sub_real_le_dist
∀ {α : Type u_1} [mα : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst : MeasureTheory.IsFiniteMeasure μ]
(s t : MeasureTheory.MeasuredSets μ), μ.real ↑s - μ.real ↑t ≤ dist s t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- SetLike.coestatement and proof · cited by 8,199
- le_reflproof · cited by 2,061
- Dist.diststatement · cited by 1,539
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- le_imp_le_of_le_of_leproof · cited by 576
- MeasureTheory.Measure.realstatement and proof · cited by 530
- MeasureTheory.measure_ne_topproof · cited by 171
- ENNReal.toReal_monoproof · cited by 59
- dist_edistproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.MeasuredSets.lipschitzWith_measureRealproof · cited by 0