Theorems · Theorem · probability
ProbabilityTheory.condExpKernel.congr_simp
∀ {Ω : Type u_3} [mΩ : MeasurableSpace Ω] [inst : StandardBorelSpace Ω] (μ μ_1 : MeasureTheory.Measure Ω)
(e_μ : μ = μ_1) [inst_1 : MeasureTheory.IsFiniteMeasure μ] (m : MeasurableSpace Ω),
ProbabilityTheory.condExpKernel μ m = ProbabilityTheory.condExpKernel μ_1 m- Defined in
- Mathlib.Probability.Kernel.Condexp
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 283 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
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- StandardBorelSpacestatement and proof · cited by 304
- ProbabilityTheory.condExpKernelstatement and proof · cited by 49
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.compProd_trim_condExpKernelproof · cited by 3
- ProbabilityTheory.HasCondSubgaussianMGF.ae_trim_condExp_leproof · cited by 1
- ProbabilityTheory.condExp_ae_eq_integral_condExpKernel'proof · cited by 1
- ProbabilityTheory.condExpKernel_ae_eq_condExp'proof · cited by 1