Theorems · Theorem · complex analysis
Complex.one_div_sub_hasFPowerSeriesOnBall_zero
∀ {z : ℂ},
z ≠ 0 →
HasFPowerSeriesOnBall (fun x => 1 / (z - x)) (FormalMultilinearSeries.ofScalars ℂ fun n => (z ^ (n + 1))⁻¹) 0 ‖z‖ₑ- Defined in
- Mathlib.Analysis.Analytic.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 296 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.
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- pow_oneproof · cited by 894
- ENorm.enormstatement and proof · cited by 715
- one_divproof · cited by 624
- Nat.chooseproof · cited by 494
- HasFPowerSeriesOnBallstatement and proof · cited by 131
- FormalMultilinearSeries.ofScalarsstatement and proof · cited by 68
- Nat.choose_zero_rightproof · cited by 55
Cited by1
Results whose statement or proof uses this declaration.
- Complex.one_div_one_sub_hasFPowerSeriesOnBall_zeroproof · cited by 1