Theorems · Theorem · abstract harmonic analysis
MeasureTheory.Measure.dirac_mconv
∀ {M : Type u_1} [inst : Monoid M] [inst_1 : MeasurableSpace M] [MeasurableMul₂ M] (x : M) (μ : MeasureTheory.Measure M)
[MeasureTheory.SFinite μ], (MeasureTheory.Measure.dirac x).mconv μ = MeasureTheory.Measure.map (fun y => x * y) μ- Defined in
- Mathlib.MeasureTheory.Group.Convolution
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.mapstatement and proof · cited by 858
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.diracstatement · cited by 210
- measurable_constproof · cited by 156
- measurable_id'proof · cited by 145
- MeasurableMul₂statement and proof · cited by 139
- Measurable.prodMkproof · cited by 115
- MeasureTheory.Measure.map_mapproof · cited by 67
- Measurable.fstproof · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.dirac_one_mconvproof · cited by 0