Theorems · Theorem · number theory
Subgroup.strictPeriods_eq_zmultiples_one_of_T_mem
∀ {Γ : Subgroup (Matrix.SpecialLinearGroup (Fin 2) ℤ)},
ModularGroup.T ∈ Γ → (Subgroup.map (Matrix.SpecialLinearGroup.mapGL ℝ) Γ).strictPeriods = AddSubgroup.zmultiples 1- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Algebra.algebraMapproof · cited by 4,706
- Matrixstatement · cited by 4,303
- mul_oneproof · cited by 3,885
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- Units.valproof · cited by 1,966
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.extproof · cited by 540
Cited by4
Results whose statement or proof uses this declaration.
- Subgroup.strictPeriods_SL2Zproof · cited by 3
- Subgroup.strictWidthInfty_eq_one_of_T_memproof · cited by 3
- CongruenceSubgroup.strictPeriods_Gamma0proof · cited by 0
- CongruenceSubgroup.strictPeriods_Gamma1proof · cited by 0