Theorems · Theorem · special functions
PeriodPair.hasSumLocallyUniformly_weierstrassPExcept
∀ (L : PeriodPair) (l₀ : ℂ), HasSumLocallyUniformly (fun l z => if ↑l = l₀ then 0 else 1 / (z - ↑l) ^ 2 - 1 / ↑l ^ 2) (L.weierstrassPExcept l₀)
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Submodulestatement · cited by 7,192
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- le_of_ltproof · cited by 1,175
- norm_nonnegproof · cited by 725
- mul_nonnegproof · cited by 397
- mul_posproof · cited by 374
- norm_zeroproof · cited by 366
- zpow_negproof · cited by 198
- zpow_ofNatproof · cited by 144
- pow_nonnegproof · cited by 141
Cited by4
Results whose statement or proof uses this declaration.
- PeriodPair.differentiableOn_weierstrassPExceptproof · cited by 3
- PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExceptproof · cited by 3
- PeriodPair.hasSum_weierstrassPExceptproof · cited by 2
- PeriodPair.hasSumLocallyUniformly_weierstrassPproof · cited by 1