Theorems · Theorem · several complex variables
formalMultilinearSeries_geometric_eq_ofScalars
∀ (𝕜 : Type u_2) [inst : NontriviallyNormedField 𝕜] (A : Type u_7) [inst_1 : NormedRing A] [inst_2 : NormedAlgebra 𝕜 A], formalMultilinearSeries_geometric 𝕜 A = FormalMultilinearSeries.ofScalars A fun x => 1
The geometric series as an ofScalars series.
- Defined in
- Mathlib.Analysis.Analytic.Constructions
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- one_smulproof · cited by 1,374
- NormedAlgebrastatement and proof · cited by 1,165
- NormedRingstatement and proof · cited by 924
- FormalMultilinearSeriesstatement · cited by 615
- FormalMultilinearSeries.ofScalarsstatement · cited by 68
- ContinuousMultilinearMap.mkPiAlgebraFinproof · cited by 29
- formalMultilinearSeries_geometricstatement · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- one_le_formalMultilinearSeries_geometric_radiusproof · cited by 2
- alternatingGeometricSeries_eq_formalMultilinearSeries_geometric_comp_negproof · cited by 2
- formalMultilinearSeries_geometric_radiusproof · cited by 0