Theorems · Theorem · number theory
ModularForm.mem_cuspFormSubmodule_iff
∀ {Γ : Subgroup (GL (Fin 2) ℝ)} {k : ℤ} [inst : Γ.HasDetOne] {f : ModularForm Γ k},
f ∈ ModularForm.cuspFormSubmodule Γ k ↔ f.IsCuspForm- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Submodulestatement · cited by 7,192
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ModularFormstatement and proof · cited by 98
- Subgroup.HasDetOnestatement and proof · cited by 18
- ModularForm.IsCuspFormstatement · cited by 6
- ModularForm.cuspFormSubmodulestatement · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.rank_eq_one_add_rank_cuspFormproof · cited by 3