Theorems · Theorem · probability
ProbabilityTheory.Kernel.indep_bot_right
∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} (m' : MeasurableSpace Ω) {_mΩ : MeasurableSpace Ω}
{κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} [ProbabilityTheory.IsZeroOrMarkovKernel κ],
ProbabilityTheory.Kernel.Indep m' ⊥ κ μ- Cited by
- 5 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.ofPredproof · cited by 6,101
- Bot.botstatement · cited by 4,720
- Set.univproof · cited by 3,945
- mul_oneproof · cited by 3,885
- Filter.Eventuallyproof · cited by 3,134
- MeasurableSetproof · cited by 3,075
- MeasureTheory.aeproof · cited by 2,352
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.indepSet_empty_rightproof · cited by 3
- ProbabilityTheory.Kernel.indep_bot_leftproof · cited by 1
- ProbabilityTheory.indep_bot_rightproof · cited by 1
- ProbabilityTheory.condIndep_bot_leftproof · cited by 0
- ProbabilityTheory.condIndep_bot_rightproof · cited by 0