Theorems · Theorem · probability
MeasureTheory.Measure.dirac_unit_compProd_const
∀ {β : Type u_2} {mβ : MeasurableSpace β} (μ : MeasureTheory.Measure β) [MeasureTheory.SFinite μ],
(MeasureTheory.Measure.dirac ()).compProd (ProbabilityTheory.Kernel.const Unit μ) =
MeasureTheory.Measure.map (Prod.mk ()) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SFinite
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Cites9
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
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.diracstatement · cited by 210
- MeasureTheory.Measure.compProdstatement · cited by 132
- ProbabilityTheory.Kernel.conststatement and proof · cited by 93
- ProbabilityTheory.Kernel.const_applyproof · cited by 13
- MeasureTheory.Measure.dirac_unit_compProdproof · cited by 1
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