Theorems · Theorem · number theory
Subgroup.isArithmetic_iff_finiteIndex
∀ {Γ : Subgroup (Matrix.SpecialLinearGroup (Fin 2) ℤ)},
(Subgroup.map (Matrix.SpecialLinearGroup.mapGL ℝ) Γ).IsArithmetic ↔ Γ.FiniteIndex- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
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
- CommRingproof · cited by 17,173
- Algebraproof · cited by 11,388
- Top.topproof · cited by 9,680
- Fintypeproof · cited by 7,736
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- FaithfulSMulproof · cited by 340
- MonoidHom.rangeproof · cited by 314
- Subgroup.mapstatement and proof · cited by 301
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