Theorems · Theorem · complex analysis
FormalMultilinearSeries.constFormalMultilinearSeries_radius
∀ {𝕜 : Type u_1} {E : Type u_3} {F : Type u_4} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {v : F},
(constFormalMultilinearSeries 𝕜 E v).radius = ⊤- Cited by
- 5 results in Mathlib
- Foundations
- Depth 172 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousMultilinearMapproof · cited by 1,016
- FormalMultilinearSeries.radiusstatement · cited by 150
- ContinuousMultilinearMap.uncurry0proof · cited by 28
- constFormalMultilinearSeriesstatement and proof · cited by 17
- FormalMultilinearSeries.radius_eq_top_of_forall_image_add_eq_zeroproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- hasFPowerSeriesOnBall_constproof · cited by 4
- FormalMultilinearSeries.div_le_radius_compContinuousLinearMapproof · cited by 3
- FormalMultilinearSeries.le_radius_compContinuousLinearMapproof · cited by 1
- FormalMultilinearSeries.zero_radiusproof · cited by 0
- analyticWithinAt_of_singleton_memproof · cited by 0