Theorems · Theorem · real analysis
integral_exp_mul_complex_Iic
∀ {a : ℂ}, 0 < a.re → ∀ (c : ℝ), ∫ (x : ℝ) in Set.Iic c, Complex.exp (a * ↑x) = Complex.exp (a * ↑c) / a- Cited by
- 0 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.
Cites15
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
- MeasureTheory.integralstatement and proof · cited by 1,779
- Complex.ofRealstatement and proof · cited by 1,654
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- Set.Ioiproof · cited by 1,463
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- Set.Iicstatement and proof · cited by 1,111
- neg_negproof · cited by 960
- Complex.restatement and proof · cited by 882
- neg_mulproof · cited by 654
- Complex.expstatement and proof · cited by 612
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.