Theorems · Theorem · number theory

cosetToCuspOrbit.congr_simp

∀ (𝒢 : Subgroup (GL (Fin 2) ℝ)) [inst : 𝒢.IsArithmetic]
  (a a_1 : Matrix.SpecialLinearGroup (Fin 2) ℤ ⧸ Subgroup.comap (Matrix.SpecialLinearGroup.mapGL ℝ) 𝒢),
  a = a_1 → cosetToCuspOrbit 𝒢 a = cosetToCuspOrbit 𝒢 a_1

Defined in: Mathlib.NumberTheory.ModularForms.Cusps
Cited by: 0 results in Mathlib
Foundations: Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Subgroup.IsArithmetic

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Realstatement and proof · cited by 25,697
Matrixstatement · cited by 4,303
Subgroupstatement and proof · cited by 3,593
HasQuotient.Quotientstatement and proof · cited by 2,301
Matrix.GeneralLinearGroupstatement and proof · cited by 556
Matrix.SpecialLinearGroupstatement and proof · cited by 348
Subgroup.comapstatement and proof · cited by 154
Matrix.SpecialLinearGroup.mapGLstatement and proof · cited by 98
Subgroup.IsArithmeticstatement and proof · cited by 41
CuspOrbitsstatement · cited by 3
cosetToCuspOrbitstatement and proof · cited by 3

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