Theorems · Theorem · complex analysis
AnalyticAt.re_ofReal
∀ {f : ℂ → ℂ} {x : ℝ}, AnalyticAt ℂ f ↑x → AnalyticAt ℝ (fun x => (f ↑x).re) x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.restatement · cited by 882
- AnalyticAtstatement and proof · cited by 321
- Complex.reCLMproof · cited by 46
- Complex.ofRealCLMproof · cited by 39
- AnalyticAt.compproof · cited by 28
- ContinuousLinearMap.analyticAtproof · cited by 14
- AnalyticAt.restrictScalarsproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- analyticAt_logproof · cited by 5
- ProbabilityTheory.analyticAt_mgfproof · cited by 4