Theorems · Theorem · probability
ProbabilityTheory.indepSet_empty_left
∀ {Ω : Type u_1} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} [MeasureTheory.IsZeroOrProbabilityMeasure μ]
(s : Set Ω), ProbabilityTheory.IndepSet ∅ s μ- Defined in
- Mathlib.Probability.Independence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.IsZeroOrProbabilityMeasurestatement and proof · cited by 46
- ProbabilityTheory.IndepSetstatement · cited by 13
- ProbabilityTheory.Kernel.indepSet_empty_leftproof · cited by 2
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