Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.mass_pi
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : Fintype ι] [inst_1 : (i : ι) → MeasurableSpace (α i)]
(μ : (i : ι) → MeasureTheory.FiniteMeasure (α i)), (MeasureTheory.FiniteMeasure.pi μ).mass = ∏ i, (μ i).mass- Cited by
- 0 results in Mathlib
- Foundations
- Depth 236 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeMeasurableSpace
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Fintypestatement and proof · cited by 7,736
- NNRealstatement and proof · cited by 4,310
- Set.univproof · cited by 3,945
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.massstatement · cited by 46
- Set.pi_univproof · cited by 14
- MeasureTheory.FiniteMeasure.pistatement and proof · cited by 4
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