Theorems · Theorem · special functions
UniformContinuousOn.cexp
∀ (a : ℝ), UniformContinuousOn Complex.exp {x | x.re ≤ a}The complex exponential function is uniformly continuous on left half planes.
- Defined in
- Mathlib.Analysis.SpecialFunctions.Exp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites44
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
- Set.ofPredstatement and proof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- nhdsproof · cited by 5,554
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- Filter.Eventuallyproof · cited by 3,134
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Continuousproof · cited by 2,592
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
Cited by1
Results whose statement or proof uses this declaration.
- TendstoUniformlyOn.comp_cexpproof · cited by 1