Theorems · Theorem · number theory
ModularForm.trace.congr_simp
∀ {𝒢 𝒢_1 : Subgroup (GL (Fin 2) ℝ)} (e_𝒢 : 𝒢 = 𝒢_1) (ℋ : Subgroup (GL (Fin 2) ℝ)) {F : Type u_1} (f f_1 : F),
f = f_1 →
∀ [inst : FunLike F UpperHalfPlane ℂ] {k : ℤ} [inst_1 : 𝒢.IsFiniteRelIndex ℋ] [inst_2 : ModularFormClass F 𝒢 k],
ModularForm.trace ℋ f = ModularForm.trace ℋ f_1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- FunLikestatement and proof · cited by 2,560
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ModularFormstatement · cited by 98
- ModularFormClassstatement and proof · cited by 64
- Subgroup.IsFiniteRelIndexstatement and proof · cited by 26
- ModularForm.tracestatement and proof · cited by 2
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