Theorems · Theorem · real analysis
integrableOn_exp_mul_complex_Ioi
∀ {a : ℂ},
a.re < 0 → ∀ (c : ℝ), MeasureTheory.IntegrableOn (fun x => Complex.exp (a * ↑x)) (Set.Ioi c) MeasureTheory.volume- Cited by
- 4 results in Mathlib
- Foundations
- Depth 281 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- Complexstatement and proof · cited by 5,565
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.ofRealstatement and proof · cited by 1,654
- MeasureTheory.Measure.restrictproof · cited by 1,646
- Set.Ioistatement and proof · cited by 1,463
- MeasureTheory.Integrableproof · cited by 1,367
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- neg_negproof · cited by 960
- sub_zeroproof · cited by 938
- Complex.restatement and proof · cited by 882
- Real.expproof · cited by 871
Cited by4
Results whose statement or proof uses this declaration.
- integral_exp_mul_complex_Ioiproof · cited by 2
- integrableOn_exp_mul_complex_Iicproof · cited by 1
- integral_exp_mul_Ioiproof · cited by 1
- integrableOn_exp_mul_Ioiproof · cited by 0