Theorems · Theorem · measure theory
MeasureTheory.Measure.restrict_add
∀ {α : Type u_2} {_m0 : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) (s : Set α),
(μ + ν).restrict s = μ.restrict s + ν.restrict s- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- LinearMap.map_addproof · cited by 32
- MeasureTheory.Measure.restrictₗproof · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.restrict_sub_eq_restrict_sub_restrictproof · cited by 6
- MeasureTheory.withDensity_add_measureproof · cited by 2
- ProbabilityTheory.Kernel.singularPart_of_subset_mutuallySingularSetSliceproof · cited by 1
- MeasureTheory.Measure.rnDeriv_restrictproof · cited by 1
- MeasureTheory.IntegrableOn.add_measureproof · cited by 1
- MeasureTheory.Measure.singularPart_eq_restrict'proof · cited by 1
- MeasureTheory.Measure.singularPart_restrictproof · cited by 1
- MeasureTheory.Measure.add_sub_of_mutuallySingularproof · cited by 0