Theorems · Theorem · special functions
Real.image_exp_Ioi
∀ (a : ℝ), Real.exp '' Set.Ioi a = Set.Ioi (Real.exp a)
- Defined in
- Mathlib.Analysis.SpecialFunctions.Exp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.imagestatement · cited by 5,609
- Set.Ioistatement · cited by 1,463
- Set.Iciproof · cited by 1,070
- Real.expstatement · cited by 871
- Continuous.continuousOnproof · cited by 311
- StrictMono.strictMonoOnproof · cited by 24
- Real.exp_strictMonoproof · cited by 17
- Real.continuous_expproof · cited by 14
- Real.tendsto_exp_atTopproof · cited by 10
- ContinuousOn.image_Ioi_of_strictMonoOnproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_comp_exp_Ioiproof · cited by 1
- MeasureTheory.integrableOn_comp_exp_Ioiproof · cited by 1