Theorems · Definition · functional analysis
FormalMultilinearSeries.coeff
{𝕜 : Type u} →
{E : Type v} →
[inst : NontriviallyNormedField 𝕜] →
[inst_1 : NormedAddCommGroup E] → [inst_2 : NormedSpace 𝕜 E] → FormalMultilinearSeries 𝕜 𝕜 E → ℕ → EThe nth coefficient of p when seen as a power series.
- Cited by
- 30 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- FormalMultilinearSeriesstatement and proof · cited by 615
Cited by30
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.coeff_ofScalarsstatement · cited by 23
- FormalMultilinearSeries.apply_eq_prod_smul_coeffstatement and proof · cited by 19
- AnalyticAt.hasFPowerSeriesAtproof · cited by 7
- FormalMultilinearSeries.norm_apply_eq_norm_coefstatement and proof · cited by 3
- PeriodPair.hasFPowerSeriesOnBall_weierstrassPExceptproof · cited by 3
- PeriodPair.coeff_weierstrassPExceptSeriesstatement and proof · cited by 3
- FormalMultilinearSeries.coeff_fslopestatement · cited by 2
- FormalMultilinearSeries.coeff_iterate_fslopestatement and proof · cited by 2
- HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslopeproof · cited by 2
- HasFPowerSeriesAt.iterate_dslope_fslope_ne_zeroproof · cited by 2
- Complex.regularizedHGFunSeries_coeffstatement · cited by 2
- PeriodPair.weierstrassPExceptSeries_hasSumstatement · cited by 2