Theorems · Theorem · complex analysis
Real.one_add_rpow_hasFPowerSeriesOnBall_zero
∀ {a : ℝ}, HasFPowerSeriesOnBall (fun x => (1 + x) ^ a) (binomialSeries ℝ a) 0 1- Defined in
- Mathlib.Analysis.Analytic.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 293 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupproof · cited by 15,752
- NormedSpaceproof · cited by 12,499
- ENNRealstatement and proof · cited by 9,879
- NontriviallyNormedFieldproof · cited by 8,742
- Complexproof · cited by 5,565
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- Complex.ofRealproof · cited by 1,654
- Complex.reproof · cited by 882
- ENorm.enormproof · cited by 715
Cited by1
Results whose statement or proof uses this declaration.
- Real.one_add_rpow_hasFPowerSeriesAt_zeroproof · cited by 0