Theorems · Theorem · number theory
Subgroup.mem_strictPeriods_iff
∀ {R : Type u_1} [inst : Ring R] {𝒢 : Subgroup (GL (Fin 2) R)} {x : R},
x ∈ 𝒢.strictPeriods ↔ Matrix.GeneralLinearGroup.upperRightHom x ∈ 𝒢- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.ofproof · cited by 336
- AddCharstatement · cited by 286
- Additive.ofMulproof · cited by 155
- Subgroup.strictPeriodsstatement · cited by 63
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.isCusp_of_mem_strictPeriodsproof · cited by 6
- Subgroup.strictWidthInfty_pos_iffproof · cited by 5
- SlashInvariantForm.vAdd_apply_of_mem_strictPeriodsproof · cited by 2