Theorems · Theorem · probability
ProbabilityTheory.isSetBernoulli_congr
∀ {ι : Type u_1} {Ω : Type u_2} {m : MeasurableSpace Ω} {X Y : Ω → Set ι} {u : Set ι} {p : ↑unitInterval}
{P : MeasureTheory.Measure Ω},
X =ᵐ[P] Y → (ProbabilityTheory.IsSetBernoulli X u p P ↔ ProbabilityTheory.IsSetBernoulli Y u p P)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 281 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.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.Elemstatement and proof · cited by 7,166
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- unitIntervalstatement and proof · cited by 607
- ProbabilityTheory.IsSetBernoullistatement · cited by 2
- ProbabilityTheory.hasLaw_congrproof · cited by 1
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