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Theorems · Theorem · probability

ProbabilityTheory.IdentDistrib.symm

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β]
  [inst_2 : MeasurableSpace γ] {μ : MeasureTheory.Measure α} {ν : MeasureTheory.Measure β} {f : α → γ} {g : β → γ},
  ProbabilityTheory.IdentDistrib f g μ ν → ProbabilityTheory.IdentDistrib g f ν μ
Defined in
Mathlib.Probability.IdentDistrib
Cited by
8 results in Mathlib
Foundations
Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpaceMeasurableSpace
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Around this declaration

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ProbabilityTheory.IdentDistrib.aestronglyMeasurable_iff · cited by 3IdentDistrib.aestronglyMe…ProbabilityTheory.strong_law_ae_real · cited by 2ProbabilityTheory.strong_…ProbabilityTheory.strong_law_aux3 · cited by 1ProbabilityTheory.strong_…ProbabilityTheory.IdentDistrib.integrable_iff · cited by 1IdentDistrib.integrable_i…ProbabilityTheory.IdentDistrib.memLp_iff · cited by 1IdentDistrib.memLp_iffProbabilityTheory.strong_law_ae · cited by 1ProbabilityTheory.strong_…ProbabilityTheory.strong_law_aux1 · cited by 1ProbabilityTheory.strong_…ProbabilityTheory.strong_law_Lp · cited by 0ProbabilityTheory.strong_…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.IdentDistrib · cited by 74ProbabilityTheory.IdentDi…ProbabilityTheory.IdentDistrib.map_eq · cited by 18IdentDistrib.map_eqProbabilityTheory.IdentDistrib.aemeasurable_fst · cited by 18IdentDistrib.aemeasurable…ProbabilityTheory.IdentDistrib.aemeasurable_snd · cited by 16IdentDistrib.aemeasurable…IdentDistrib.symmCITED BYCITES

Cites6

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Cited by8

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