Theorems · Theorem · number theory
CongruenceSubgroup.finiteIndex_conjGL
∀ (g : GL (Fin 2) ℚ), (CongruenceSubgroup.conjGL ⊤ ((Matrix.GeneralLinearGroup.map (Rat.castHom ℝ)) g)).FiniteIndex
If Γ has finite index in SL(2, ℤ), then so does g⁻¹ Γ g ∩ SL(2, ℤ) for any
g ∈ GL(2, ℚ).
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- Top.topstatement and proof · cited by 9,680
- 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.rangeproof · cited by 314
- Subgroup.mapproof · cited by 301
- Subgroup.comapproof · cited by 154
- Subgroup.indexproof · cited by 150
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.