Theorems · Theorem · several complex variables
hasFPowerSeriesOnBall_inv_one_add
∀ (𝕜 : Type u_2) [inst : NontriviallyNormedField 𝕜] (𝕝 : Type u_8) [inst_1 : NormedDivisionRing 𝕝] [inst_2 : NormedAlgebra 𝕜 𝕝], HasFPowerSeriesOnBall (fun x => (1 + x)⁻¹) (alternatingGeometricSeries 𝕜 𝕝) 0 1
- Defined in
- Mathlib.Analysis.Analytic.Constructions
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupproof · cited by 15,752
- NormedSpaceproof · cited by 12,499
- ENNRealstatement and proof · cited by 9,879
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- NormedAlgebrastatement and proof · cited by 1,165
- FormalMultilinearSeriesproof · cited by 615
- NormedDivisionRingstatement and proof · cited by 360
- Ring.inverseproof · cited by 160
- HasFPowerSeriesOnBallstatement and proof · cited by 131
- Ring.inverse_eq_inv'proof · cited by 15
- alternatingGeometricSeriesstatement and proof · cited by 9
- hasFPowerSeriesOnBall_inverse_one_addproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- analyticAt_inv_one_addproof · cited by 0