Theorems · Theorem · abstract harmonic analysis
MeasureTheory.Measure.conv_add
∀ {M : Type u_1} [inst : AddMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M] (μ ν ρ : MeasureTheory.Measure M)
[MeasureTheory.SFinite μ] [MeasureTheory.SFinite ν] [MeasureTheory.SFinite ρ], μ.conv (ν + ρ) = μ.conv ν + μ.conv ρ- Defined in
- Mathlib.MeasureTheory.Group.Convolution
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AddMonoidstatement and proof · cited by 2,864
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.prodproof · cited by 353
- MeasurableAdd₂statement and proof · cited by 155
- measurable_id'proof · cited by 145
- Measurable.fstproof · cited by 51
- Measurable.sndproof · cited by 51
- MeasureTheory.Measure.convstatement · cited by 41
- MeasureTheory.Measure.map_addproof · cited by 11
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