Theorems · Theorem · measure theory
MeasureTheory.condExp_ofNat
∀ {α : Type u_1} {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {R : Type u_5} [inst : NormedRing R]
[inst_1 : NormedSpace ℝ R] [CompleteSpace R] (n : ℕ) [inst_3 : n.AtLeastTwo] (f : α → R),
μ[OfNat.ofNat n * f | m] =ᵐ[μ] OfNat.ofNat n * μ[f | m]- 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.
Cites13
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
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- CompleteSpacestatement and proof · cited by 2,532
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- NormedRingstatement and proof · cited by 924
- Nat.AtLeastTwostatement and proof · cited by 405
- nsmul_eq_mulproof · cited by 369
- MeasureTheory.condExpstatement and proof · cited by 234
- Nat.cast_smul_eq_nsmulproof · cited by 110
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condVar_ae_eq_condExp_sq_sub_sq_condExpproof · cited by 3