Theorems · Theorem · number theory
UpperHalfPlane.qExpansion_sub
∀ {h : ℝ} {f g : UpperHalfPlane → ℂ},
AnalyticAt ℂ (UpperHalfPlane.cuspFunction h f) 0 →
AnalyticAt ℂ (UpperHalfPlane.cuspFunction h g) 0 →
UpperHalfPlane.qExpansion h (f - g) = UpperHalfPlane.qExpansion h f - UpperHalfPlane.qExpansion h g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 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.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- sub_eq_add_negproof · cited by 1,023
- PowerSeriesstatement · cited by 797
- UpperHalfPlanestatement and proof · cited by 626
- AnalyticAtstatement and proof · cited by 321
- UpperHalfPlane.qExpansionstatement and proof · cited by 64
- UpperHalfPlane.cuspFunctionstatement and proof · cited by 46
- AnalyticAt.continuousAtproof · cited by 35
- AnalyticAt.negproof · cited by 8
- UpperHalfPlane.cuspFunction_negproof · cited by 2
- UpperHalfPlane.qExpansion_addproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.qExpansion_subproof · cited by 3