Theorems · Theorem · functional analysis
NormedSpace.expSeries_radius_pos
∀ (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], 0 < (NormedSpace.expSeries 𝕂 𝔸).radius
- Cited by
- 3 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- NormedAlgebrastatement and proof · cited by 1,165
- ContinuousSMulstatement and proof · cited by 1,016
- CharZerostatement and proof · cited by 932
- NormedRingstatement and proof · cited by 924
- FormalMultilinearSeries.radiusstatement · cited by 150
- NormedSpace.expSeriesstatement · cited by 68
- NormedSpace.expSeries_radius_eq_topproof · cited by 27
- WithTop.top_posproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- hasStrictDerivAt_exp_zeroproof · cited by 1
- NormedSpace.exp_hasFPowerSeriesOnBallproof · cited by 1
- hasStrictFDerivAt_exp_zeroproof · cited by 1