Theorems · Theorem · measure theory
MeasureTheory.lconvolution_comm
∀ {G : Type u_1} {mG : MeasurableSpace G} [inst : AddCommGroup G] [MeasurableAdd₂ G] [MeasurableNeg G]
{μ : MeasureTheory.Measure G} [μ.IsAddLeftInvariant] [μ.IsNegInvariant] {f g : G → ENNReal},
MeasureTheory.lconvolution f g μ = MeasureTheory.lconvolution 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
Around this declaration
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Cites17
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
- AddCommGroupstatement and proof · cited by 12,871
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- mul_commproof · cited by 2,262
- add_commproof · cited by 1,535
- MeasureTheory.lintegralproof · cited by 1,152
- neg_negproof · cited by 960
- neg_add_revproof · cited by 236
- MeasurableAdd₂statement and proof · cited by 155
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableNegstatement and proof · cited by 130
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