Theorems · Theorem · number theory
Subgroup.isCusp_of_mem_strictPeriods
∀ {𝒢 : Subgroup (GL (Fin 2) ℝ)} {h : ℝ}, 0 < h → h ∈ 𝒢.strictPeriods → IsCusp OnePoint.infty 𝒢- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- LT.lt.ne'proof · cited by 1,417
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- OnePoint.inftystatement · cited by 102
- Subgroup.strictPeriodsstatement and proof · cited by 63
- IsCuspstatement · cited by 51
- Matrix.GeneralLinearGroup.upperRightHomproof · cited by 14
- OnePoint.smul_infty_eq_self_iffproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- ModularFormClass.analyticAt_cuspFunction_zeroproof · cited by 14
- ModularForm.qExpansion_eq_zero_iffproof · cited by 1
- ModularFormClass.qExpansion_coeff_eq_intervalIntegralproof · cited by 1
- CuspFormClass.cuspFunction_apply_zeroproof · cited by 1
- CuspFormClass.exp_decay_atImInftyproof · cited by 1
- ModularFormClass.differentiableAt_cuspFunctionproof · cited by 0