Theorems · Theorem · measure theory
MeasureTheory.mlconvolution_comm
∀ {G : Type u_1} {mG : MeasurableSpace G} [inst : CommGroup G] [MeasurableMul₂ G] [MeasurableInv G]
{μ : MeasureTheory.Measure G} [μ.IsMulLeftInvariant] [μ.IsInvInvariant] {f g : G → ENNReal},
MeasureTheory.mlconvolution f g μ = MeasureTheory.mlconvolution g f μConvolution is commutative when the group is commutative.
- Defined in
- Mathlib.Analysis.LConvolution
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- ENNRealstatement and proof · cited by 9,879
- mul_commproof · cited by 2,262
- MeasureTheory.lintegralproof · cited by 1,152
- CommGroupstatement and proof · cited by 990
- inv_invproof · cited by 494
- mul_inv_revproof · cited by 270
- MeasurableMul₂statement and proof · cited by 139
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasurableInvstatement and proof · cited by 98
- MeasureTheory.Measure.IsInvInvariantstatement and proof · cited by 24
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