Theorems · Theorem · abstract harmonic analysis
MeasureTheory.Measure.zero_mconv
∀ {M : Type u_1} [inst : Monoid M] [inst_1 : MeasurableSpace M] (μ : MeasureTheory.Measure M),
MeasureTheory.Measure.mconv 0 μ = 0Convolution of the zero measure with a measure μ returns the zero measure.
- Defined in
- Mathlib.MeasureTheory.Group.Convolution
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidMeasurableSpace
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Cites7
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
- Monoidstatement and proof · cited by 3,887
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.Measure.mconvstatement · cited by 31
- MeasureTheory.Measure.map_zeroproof · cited by 17
- MeasureTheory.Measure.zero_prodproof · cited by 4
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