Theorems · Theorem · probability
ProbabilityTheory.CondIndepFun.symm
∀ {Ω : Type u_1} {β : Type u_3} {β' : Type u_4} {m' mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω]
{hm' : m' ≤ mΩ} {μ : MeasureTheory.Measure Ω} [inst_1 : MeasureTheory.IsFiniteMeasure μ] {mβ : MeasurableSpace β}
{mβ' : MeasurableSpace β'} {f : Ω → β} {g : Ω → β'},
ProbabilityTheory.CondIndepFun m' hm' f g μ → ProbabilityTheory.CondIndepFun m' hm' g f μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- StandardBorelSpacestatement and proof · cited by 304
- ProbabilityTheory.CondIndepFunstatement and proof · cited by 41
- ProbabilityTheory.Kernel.IndepFun.symmproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condIndepFun_of_measurable_rightproof · cited by 1