Theorems · Theorem · number theory
Subgroup.Commensurable.isCusp_iff
∀ {𝒢 𝒢' : Subgroup (GL (Fin 2) ℝ)}, 𝒢.Commensurable 𝒢' → ∀ {c : OnePoint ℝ}, IsCusp c 𝒢 ↔ IsCusp c 𝒢'- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- OnePointstatement and proof · cited by 126
- IsCuspstatement and proof · cited by 51
- Subgroup.Commensurablestatement and proof · cited by 20
- Subgroup.inf_relIndex_rightproof · cited by 8
- isCusp_iff_of_relIndex_ne_zeroproof · cited by 2
- Subgroup.inf_relIndex_leftproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.IsArithmetic.isCusp_iff_isCusp_SL2Zproof · cited by 5
- Subgroup.widthInfty_pos_iffproof · cited by 0