Theorems · Theorem · number theory
Subgroup.strictPeriods_eq_zmultiples_strictWidthInfty
∀ {𝒢 : Subgroup (GL (Fin 2) ℝ)} [DiscreteTopology ↥𝒢.strictPeriods],
𝒢.strictPeriods = AddSubgroup.zmultiples 𝒢.strictWidthInfty- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DiscreteTopology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- AddSubgroupstatement · cited by 3,232
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- DiscreteTopologystatement and proof · cited by 373
- Subgroup.strictPeriodsstatement and proof · cited by 63
- Subgroup.strictWidthInftystatement · cited by 19
- AddSubgroup.isAddCyclic_iff_exists_zmultiples_eq_topproof · cited by 4
- zmultiples_absproof · cited by 1
- AddSubgroup.discrete_iff_addCyclicproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Subgroup.strictWidthInfty_mem_strictPeriodsproof · cited by 5
- Subgroup.strictWidthInfty_eq_one_of_T_memproof · cited by 3
- Subgroup.periods_eq_zmultiples_widthInftyproof · cited by 1
- CongruenceSubgroup.strictWidthInfty_Gammaproof · cited by 0