Theorems · Theorem · measure theory
MeasureTheory.Measure.sub_apply_eq_zero_of_restrict_le_restrict
∀ {α : Type u_1} {m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} {s : Set α},
μ.restrict s ≤ ν.restrict s → MeasurableSet s → (μ - ν) s = 0- Defined in
- Mathlib.MeasureTheory.Measure.Sub
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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 and proof · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- MeasureTheory.Measure.restrict_apply_selfproof · cited by 7
- MeasureTheory.Measure.restrict_sub_eq_restrict_sub_restrictproof · cited by 6
- MeasureTheory.Measure.sub_eq_zero_of_leproof · cited by 5
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