Theorems · Theorem · measure theory
MeasureTheory.lconvolution_zero
∀ {G : Type u_1} {mG : MeasurableSpace G} [inst : Add G] [inst_1 : Neg G] (f : G → ENNReal)
(μ : MeasureTheory.Measure G), MeasureTheory.lconvolution f 0 μ = 0Convolution of a function with the zero function returns the zero function.
- Defined in
- Mathlib.Analysis.LConvolution
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.univproof · cited by 3,945
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.lintegral_constproof · cited by 123
- MeasureTheory.lconvolutionstatement · cited by 16
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