Mathlib Map

Theorems · Theorem · probability

ProbabilityTheory.Kernel.IndepFun.symm

∀ {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} {f : Ω → β} {g : Ω → β'} {x : MeasurableSpace β}
  {x_1 : MeasurableSpace β'}, ProbabilityTheory.Kernel.IndepFun f g κ μ → ProbabilityTheory.Kernel.IndepFun g f κ μ
Defined in
Mathlib.Probability.Independence.Kernel.IndepFun
Cited by
14 results in Mathlib
Foundations
Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.IndepFun.symm · cited by 6IndepFun.symmProbabilityTheory.Kernel.iIndepFun.indepFun_div_right · cited by 2iIndepFun.indepFun_div_ri…ProbabilityTheory.Kernel.indepFun_const_right · cited by 2Kernel.indepFun_const_rig…ProbabilityTheory.Kernel.iIndepFun.indepFun_add_right · cited by 2iIndepFun.indepFun_add_ri…ProbabilityTheory.Kernel.iIndepFun.indepFun_mul_right · cited by 2iIndepFun.indepFun_mul_ri…ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_right · cited by 2iIndepFun.indepFun_sub_ri…ProbabilityTheory.Kernel.IndepFun.indepFun_process · cited by 2IndepFun.indepFun_processProbabilityTheory.Kernel.IndepFun.process_congr_right · cited by 2IndepFun.process_congr_ri…ProbabilityTheory.Kernel.iIndepFun.indepFun_div_right₀ · cited by 1iIndepFun.indepFun_div_ri…ProbabilityTheory.Kernel.iIndepFun.indepFun_mul_right₀ · cited by 1iIndepFun.indepFun_mul_ri…ProbabilityTheory.Kernel.IndepFun.indepFun_process₀ · cited by 1IndepFun.indepFun_process₀ProbabilityTheory.CondIndepFun.symm · cited by 1CondIndepFun.symmProbabilityTheory.Kernel.iIndepFun.indepFun_add_right₀ · cited by 1iIndepFun.indepFun_add_ri…ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_right₀ · cited by 1iIndepFun.indepFun_sub_ri…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.Kernel.IndepFun · cited by 70Kernel.IndepFunProbabilityTheory.Kernel.Indep.symm · cited by 5Indep.symmIndepFun.symmCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by14

Results whose statement or proof uses this declaration.