Theorems · Theorem · probability
ProbabilityTheory.IndepFun.neg_left
∀ {Ω : Type u_1} {β : Type u_6} {β' : Type u_7} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {f : Ω → β}
{g : Ω → β'} {_mβ : MeasurableSpace β} {_mβ' : MeasurableSpace β'} [inst : Neg β] [MeasurableNeg β],
ProbabilityTheory.IndepFun f g μ → ProbabilityTheory.IndepFun (-f) g μ- Defined in
- Mathlib.Probability.Independence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NegMeasurableNeg
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Cites7
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
- ProbabilityTheory.IndepFunstatement and proof · cited by 192
- MeasurableNegstatement and proof · cited by 130
- measurable_idproof · cited by 89
- MeasurableNeg.measurable_negproof · cited by 20
- ProbabilityTheory.IndepFun.compproof · cited by 13
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