Theorems · Theorem · complex analysis
HasProdUniformlyOn_sineTerm_prod_on_compact
∀ {Z : Set ℂ},
Z ⊆ Complex.integerComplement →
IsCompact Z →
HasProdUniformlyOn (fun n z => 1 + sineTerm z n) (fun x => Complex.sin (↑Real.pi * x) / (↑Real.pi * x)) Z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Complexstatement and proof · cited by 5,565
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- IsCompactstatement and proof · cited by 1,282
- Complex.sinstatement · cited by 258
- Complex.integerComplementstatement and proof · cited by 30
- HasProdUniformlyOnstatement · cited by 28
- sineTermstatement · cited by 10
- MultipliableUniformlyOn.hasProdUniformlyOnproof · cited by 5
- multipliableUniformlyOn_euler_sin_prod_on_compactproof · cited by 1
- HasProdUniformlyOn.congr_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- HasProdLocallyUniformlyOn_euler_sin_prodproof · cited by 1