Theorems · Theorem · functional analysis
FormalMultilinearSeries.coeff_fslope
∀ {𝕜 : Type u} {E : Type v} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {p : FormalMultilinearSeries 𝕜 𝕜 E} {n : ℕ}, p.fslope.coeff n = p.coeff (n + 1)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- ContinuousMultilinearMapproof · cited by 1,016
- FormalMultilinearSeriesstatement and proof · cited by 615
- DFunLikeproof · cited by 576
- Fin.consproof · cited by 190
- FormalMultilinearSeries.coeffstatement · cited by 30
- Fin.cons_self_tailproof · cited by 9
- FormalMultilinearSeries.fslopestatement · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.coeff_iterate_fslopeproof · cited by 2
- HasFPowerSeriesAt.has_fpower_series_dslope_fslopeproof · cited by 1