Theorems · Theorem · complex analysis
Complex.one_add_cpow_hasFPowerSeriesOnBall_zero
∀ {a : ℂ}, HasFPowerSeriesOnBall (fun x => (1 + x) ^ a) (binomialSeries ℂ a) 0 1- Defined in
- Mathlib.Analysis.Analytic.Binomial
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 292 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites68
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- NormedAddCommGroupproof · cited by 15,752
- NormedSpaceproof · cited by 12,499
- ENNRealstatement and proof · cited by 9,879
- NontriviallyNormedFieldproof · cited by 8,742
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- mul_assocproof · cited by 1,667
Cited by3
Results whose statement or proof uses this declaration.
- Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zeroproof · cited by 2
- Real.one_add_rpow_hasFPowerSeriesOnBall_zeroproof · cited by 1
- Complex.one_add_cpow_hasFPowerSeriesAt_zeroproof · cited by 0