Theorems · Theorem · probability
ProbabilityTheory.Kernel.indepFun_const_left
∀ {α : Type u_1} {Ω : Type u_2} {β : Type u_4} {β' : Type u_5} {mα : MeasurableSpace α} {mΩ : MeasurableSpace Ω}
{κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} {mβ : MeasurableSpace β} {mβ' : MeasurableSpace β'}
[ProbabilityTheory.IsZeroOrMarkovKernel κ] (c : β') (X : Ω → β), ProbabilityTheory.Kernel.IndepFun (fun x => c) X κ μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Kernelstatement and proof · cited by 1,281
- MeasurableSpace.comapproof · cited by 124
- ProbabilityTheory.Kernel.IndepFunstatement · cited by 70
- ProbabilityTheory.Kernel.Indepproof · cited by 42
- ProbabilityTheory.IsZeroOrMarkovKernelstatement and proof · cited by 32
- ProbabilityTheory.Kernel.indep_bot_leftproof · cited by 1
- MeasurableSpace.comap_constproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.indepFun_const_rightproof · cited by 2
- ProbabilityTheory.indepFun_const_leftproof · cited by 0
- ProbabilityTheory.condIndepFun_const_leftproof · cited by 0