Theorems · Theorem · measure theory
MeasureTheory.le_measure_sdiff
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s₁ s₂ : Set α}, μ s₁ - μ s₂ ≤ μ (s₁ \ s₂)- Cited by
- 8 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- LE.le.transproof · cited by 3,151
- le_reflproof · cited by 2,061
- add_le_addproof · cited by 666
- MeasureTheory.measure_monoproof · cited by 338
- Set.inter_subset_rightproof · cited by 329
- tsub_le_iff_leftproof · cited by 38
- MeasureTheory.measure_le_inter_add_sdiffproof · cited by 7
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.le_measure_symmDiffproof · cited by 2
- MeasureTheory.MeasuredSets.sub_le_edistproof · cited by 2
- MeasureTheory.Measure.InnerRegularWRT.measurableSet_of_isOpenproof · cited by 2
- Directed.measure_iInterproof · cited by 1
- MeasureTheory.measure_eq_top_iff_of_symmDiffproof · cited by 1
- BoxIntegral.hasIntegralIndicatorConstproof · cited by 1
- MeasureTheory.innerRegularWRT_of_exists_compl_ltproof · cited by 1
- MeasureTheory.le_measure_diffproof · cited by 0