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- 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.
Cites5
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
- ProbabilityTheory.Kernel.IndepFunstatement and proof · cited by 70
- ProbabilityTheory.Kernel.Indep.symmproof · cited by 5
Cited by14
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IndepFun.symmproof · cited by 6
- ProbabilityTheory.Kernel.iIndepFun.indepFun_div_rightproof · cited by 2
- ProbabilityTheory.Kernel.indepFun_const_rightproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.indepFun_add_rightproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.indepFun_mul_rightproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_rightproof · cited by 2
- ProbabilityTheory.Kernel.IndepFun.indepFun_processproof · cited by 2
- ProbabilityTheory.Kernel.IndepFun.process_congr_rightproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.indepFun_div_right₀proof · cited by 1
- ProbabilityTheory.Kernel.iIndepFun.indepFun_mul_right₀proof · cited by 1
- ProbabilityTheory.Kernel.IndepFun.indepFun_process₀proof · cited by 1
- ProbabilityTheory.CondIndepFun.symmproof · cited by 1