Theorems · Theorem · measure theory
Real.aemeasurable_of_aemeasurable_exp_mul
∀ {α : Type u_1} {x : MeasurableSpace α} {f : α → ℝ} {μ : MeasureTheory.Measure α} {t : ℝ},
t ≠ 0 → AEMeasurable (fun x => Real.exp (t * f x)) μ → AEMeasurable f μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Real.expstatement and proof · cited by 871
- AEMeasurablestatement and proof · cited by 840
- mul_div_cancel_left₀proof · cited by 111
- aemeasurable_constproof · cited by 22
- Real.aemeasurable_of_aemeasurable_expproof · cited by 11
- AEMeasurable.fun_divproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integrable_exp_mul_of_le_of_leproof · cited by 7
- ProbabilityTheory.aemeasurable_of_mem_interior_integrableExpSetproof · cited by 6
- ProbabilityTheory.aemeasurable_of_integrable_exp_mulproof · cited by 3