Theorems · Theorem · functional analysis
NormedSpace.norm_expSeries_summable
∀ {𝕂 : Type u_1} {𝔸 : Type u_2} [inst : NontriviallyNormedField 𝕂] [inst_1 : CharZero 𝕂] [ContinuousSMul ℚ 𝕂]
[inst_3 : NormedRing 𝔸] [inst_4 : NormedAlgebra 𝕂 𝔸] (x : 𝔸),
Summable fun n => ‖(NormedSpace.expSeries 𝕂 𝔸 n) fun x_1 => x‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement · cited by 5,413
- SummationFilter.unconditionalstatement · cited by 2,068
- NormedAlgebrastatement and proof · cited by 1,165
- ContinuousMultilinearMapstatement · cited by 1,016
- ContinuousSMulstatement and proof · cited by 1,016
- CharZerostatement and proof · cited by 932
- NormedRingstatement and proof · cited by 924
- Summablestatement · cited by 778
- NormedSpace.expSeriesstatement · cited by 68
Cited by1
Results whose statement or proof uses this declaration.
- NormedSpace.expSeries_summableproof · cited by 1