Theorems · Theorem · probability
ProbabilityTheory.condVar_congr_ae
∀ {Ω : Type u_1} {m₀ m : MeasurableSpace Ω} {X Y : Ω → ℝ} {μ : MeasureTheory.Measure Ω},
X =ᵐ[μ] Y → ProbabilityTheory.condVar m X μ =ᵐ[μ] ProbabilityTheory.condVar m Y μ- Defined in
- Mathlib.Probability.CondVar
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.condExpproof · cited by 234
- ProbabilityTheory.condVarstatement · cited by 21
- MeasureTheory.condExp_congr_aeproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condVar_of_ae_eq_zero_or_oneproof · cited by 1