Theorems · Theorem · complex analysis
ContDiffAt.real_of_complex
∀ {e : ℂ → ℂ} {z : ℝ} {n : WithTop ℕ∞}, ContDiffAt ℂ n e ↑z → ContDiffAt ℝ n (fun x => (e ↑x).re) z- Defined in
- Mathlib.Analysis.Complex.RealDeriv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.restatement and proof · cited by 882
- ContDiffAtstatement and proof · cited by 262
- ContDiff.contDiffAtproof · cited by 106
- Complex.reCLMproof · cited by 46
- Complex.ofRealCLMproof · cited by 39
- ContDiffAt.compproof · cited by 34
- ContinuousLinearMap.contDiffproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- ContDiff.real_of_complexproof · cited by 5
- Real.contDiffAt_tanproof · cited by 1