Theorems · Theorem · several complex variables
alternatingGeometricSeries_apply_norm
∀ (𝕜 : Type u_2) [inst : NontriviallyNormedField 𝕜] (A : Type u_7) [inst_1 : NormedRing A] [inst_2 : NormedAlgebra 𝕜 A] [NormOneClass A] (n : ℕ), ‖alternatingGeometricSeries 𝕜 A n‖ = 1
- Defined in
- Mathlib.Analysis.Analytic.Constructions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement · cited by 5,413
- mul_oneproof · cited by 3,885
- NormedAlgebrastatement and proof · cited by 1,165
- ContinuousMultilinearMapstatement · cited by 1,016
- NormedRingstatement and proof · cited by 924
- one_powproof · cited by 521
- norm_negproof · cited by 190
- NormOneClass.norm_oneproof · cited by 148
- NormOneClassstatement and proof · cited by 136
- norm_powproof · cited by 106
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