Theorems · Theorem · several complex variables
alternatingGeometricSeries_apply_norm_le
∀ (𝕜 : Type u_2) [inst : NontriviallyNormedField 𝕜] (A : Type u_7) [inst_1 : NormedRing A] [inst_2 : NormedAlgebra 𝕜 A] (n : ℕ), ‖alternatingGeometricSeries 𝕜 A n‖ ≤ max 1 ‖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 and proof · cited by 5,413
- one_mulproof · cited by 2,841
- 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
- norm_powproof · cited by 106
- ContinuousMultilinearMap.mkPiAlgebraFinproof · cited by 29
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