Theorems · Theorem · special functions
PeriodPair.hasFPowerSeriesOnBall_derivWeierstrassPExcept
∀ (L : PeriodPair) (l₀ x : ℂ) (r : NNReal),
0 < r →
Metric.closedBall x ↑r ⊆ (↑L.lattice \ {l₀})ᶜ →
HasFPowerSeriesOnBall (L.derivWeierstrassPExcept l₀) (L.derivWeierstrassPExceptSeries l₀ x) x ↑r- Cited by
- 1 results in Mathlib
- Foundations
- Depth 304 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites51
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- NormedAddCommGroupproof · cited by 15,752
- NormedSpaceproof · cited by 12,499
- ENNRealproof · cited by 9,879
- NontriviallyNormedFieldproof · cited by 8,742
- SetLike.coestatement and proof · cited by 8,199
- Submodulestatement · cited by 7,192
- Complexstatement and proof · cited by 5,565
- NNRealstatement and proof · cited by 4,310
- LE.le.transproof · cited by 3,151
- Compl.complstatement and proof · cited by 2,925
Cited by1
Results whose statement or proof uses this declaration.
- PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExceptproof · cited by 1