Theorems · Definition · number theory
Subgroup.widthInfty
Subgroup (GL (Fin 2) ℝ) → ℝ
The width of the cusp ∞, i.e. the x such that 𝒢.periods = zmultiples x, or 0 if no such
x exists.
- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Subgroup.strictWidthInftyproof · cited by 19
- Subgroup.adjoinNegOneproof · cited by 14
Cited by7
Results whose statement or proof uses this declaration.
- Subgroup.widthInfty_mem_periodsstatement · cited by 2
- Subgroup.periods_eq_zmultiples_widthInftystatement · cited by 1
- Subgroup.widthInfty_nonnegstatement · cited by 0
- Subgroup.widthInfty_posstatement · cited by 0
- Subgroup.widthInfty_pos_iffstatement · cited by 0
- Subgroup.isRegularAtInfty_iffstatement and proof · cited by 0
- Subgroup.two_mul_widthInfty_mem_strictPeriodsstatement and proof · cited by 0