Theorems · Theorem · number theory
cosetToCuspOrbit_apply_mk
∀ {𝒢 : Subgroup (GL (Fin 2) ℝ)} [inst : 𝒢.IsArithmetic] (g : Matrix.SpecialLinearGroup (Fin 2) ℤ),
cosetToCuspOrbit 𝒢 ⟦g⟧ = ⟦⟨(Matrix.SpecialLinearGroup.mapGL ℝ) g⁻¹ • OnePoint.infty, ⋯⟩⟧- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.IsArithmetic
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.rangestatement · cited by 4,705
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- MonoidHom.rangestatement · cited by 314
- Subgroup.comapstatement · cited by 154
- OnePointstatement · cited by 126
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