Theorems · Inductive type · number theory
Subgroup.IsArithmetic
Subgroup (GL (Fin 2) ℝ) → Prop
A subgroup of GL(2, ℝ) is arithmetic if it is commensurable with the image of SL(2, ℤ).
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Matrixstatement · cited by 4,303
- Subgroupstatement · cited by 3,593
- Matrix.GeneralLinearGroupstatement · cited by 556
Cited by47
Results whose statement or proof uses this declaration.
- ModularForm.weakFEPairstatement and proof · cited by 9
- ModularForm.Λstatement and proof · cited by 6
- Subgroup.IsArithmetic.isCusp_iff_isCusp_SL2Zstatement and proof · cited by 5
- ModularForm.Lstatement and proof · cited by 4
- cosetToCuspOrbitstatement and proof · cited by 3
- Subgroup.IsArithmetic.is_commensurablestatement and proof · cited by 2
- CuspForm.isStrongFEPairstatement and proof · cited by 2
- CuspFormClass.petersson_bounded_leftstatement and proof · cited by 2
- qExpansion_coeff_isBigO_of_norm_isBigOstatement and proof · cited by 2
- ModularGroup.exists_bound_of_subgroup_invariant_of_isArithmetic_of_isBigOstatement and proof · cited by 2
- Subgroup.IsArithmetic.conjstatement and proof · cited by 1
- CuspForm.differentiable_Λstatement and proof · cited by 1