Theorems · Theorem · number theory
Subgroup.strictWidthInfty_eq_one_of_T_mem
∀ {Γ : Subgroup (Matrix.SpecialLinearGroup (Fin 2) ℤ)},
ModularGroup.T ∈ Γ → (Subgroup.map (Matrix.SpecialLinearGroup.mapGL ℝ) Γ).strictWidthInfty = 1- Defined in
- Mathlib.NumberTheory.ModularForms.Cusps
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- AddSubgroupproof · cited by 3,232
- one_ne_zeroproof · cited by 885
- Matrix.GeneralLinearGroupstatement · cited by 556
- AddSubgroup.zmultiplesproof · cited by 493
- DiscreteTopologyproof · cited by 373
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Subgroup.mapstatement and proof · cited by 301
- Matrix.SpecialLinearGroup.mapGLstatement and proof · cited by 98
- Subgroup.strictPeriodsproof · cited by 63
Cited by3
Results whose statement or proof uses this declaration.
- CongruenceSubgroup.strictWidthInfty_Gamma1proof · cited by 0
- Subgroup.strictWidthInfty_SL2Zproof · cited by 0
- CongruenceSubgroup.strictWidthInfty_Gamma0proof · cited by 0