Theorems · Theorem · measure theory
MeasureTheory.Measure.sub_add_cancel_of_le
∀ {α : Type u_1} {m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} [MeasureTheory.IsFiniteMeasure ν],
ν ≤ μ → μ - ν + ν = μ- Defined in
- Mathlib.MeasureTheory.Measure.Sub
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.Measure.extproof · cited by 308
- tsub_add_cancel_of_leproof · cited by 112
- MeasureTheory.Measure.add_applyproof · cited by 17
- MeasureTheory.Measure.sub_applyproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.toSignedMeasure_restrict_subproof · cited by 1
- MeasureTheory.Measure.sub_le_iff_le_add_of_leproof · cited by 1