Theorems · Theorem · number theory
Subgroup.IsArithmetic.is_commensurable
∀ {𝒢 : Subgroup (GL (Fin 2) ℝ)} [self : 𝒢.IsArithmetic], 𝒢.Commensurable (Matrix.SpecialLinearGroup.mapGL ℝ).range- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.IsArithmetic
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Matrix.SpecialLinearGroupstatement · cited by 348
- MonoidHom.rangestatement · cited by 314
- Matrix.SpecialLinearGroup.mapGLstatement · cited by 98
- Subgroup.IsArithmeticstatement and proof · cited by 41
- Subgroup.Commensurablestatement · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.IsArithmetic.isCusp_iff_isCusp_SL2Zproof · cited by 5
- Subgroup.IsArithmetic.conjproof · cited by 1