Theorems · Theorem · number theory
OnePoint.isZeroAt_iff_exists_SL2Z
∀ {c : OnePoint ℝ} {f : UpperHalfPlane → ℂ} {k : ℤ},
IsCusp c (Matrix.SpecialLinearGroup.mapGL ℝ).range →
(c.IsZeroAt f k ↔
∃ γ,
(Matrix.SpecialLinearGroup.mapGL ℝ) γ • OnePoint.infty = c ∧
UpperHalfPlane.IsZeroAtImInfty (SlashAction.map k γ f))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- MonoidHom.rangestatement and proof · cited by 314
- OnePointstatement and proof · cited by 126
- OnePoint.inftystatement and proof · cited by 102
- Matrix.SpecialLinearGroup.mapGLstatement and proof · cited by 98
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