Theorems · Definition · real analysis
ftaylorSeriesWithin
(𝕜 : Type u) →
[inst : NontriviallyNormedField 𝕜] →
{E : Type uE} →
[inst_1 : NormedAddCommGroup E] →
[inst_2 : NormedSpace 𝕜 E] →
{F : Type uF} →
[inst_3 : NormedAddCommGroup F] →
[inst_4 : NormedSpace 𝕜 F] → (E → F) → Set E → E → FormalMultilinearSeries 𝕜 E FFormal Taylor series associated to a function within a set.
- Cited by
- 17 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- FormalMultilinearSeriesstatement · cited by 615
- iteratedFDerivWithinproof · cited by 147
Cited by17
Results whose statement or proof uses this declaration.
- contDiffOn_univproof · cited by 25
- ContDiffOn.ftaylorSeriesWithinstatement and proof · cited by 11
- contDiffOn_zeroproof · cited by 5
- iteratedDerivWithin_vcomp_eq_sum_orderedFinpartitionproof · cited by 4
- contDiffOn_of_continuousOn_differentiableOnproof · cited by 3
- iteratedFDerivWithin_compstatement · cited by 2
- iteratedFDerivWithin_comp_of_eventually_memstatement and proof · cited by 1
- AnalyticOn.exists_hasFTaylorSeriesUpToOnproof · cited by 1
- AnalyticOn.hasFTaylorSeriesUpToOnstatement · cited by 1
- ContDiffWithinAt.eventually_hasFTaylorSeriesUpToOnstatement · cited by 1
- ftaylorSeriesWithin_univstatement · cited by 1
- ftaylorSeriesWithin_zerostatement · cited by 1