Theorems · Theorem · number theory
CuspFormClass.zero_at_infty_comp_ofComplex
∀ {k : ℤ} {F : Type u_1} [inst : FunLike F UpperHalfPlane ℂ] {Γ : Subgroup (GL (Fin 2) ℝ)} (f : F) [CuspFormClass F Γ k]
[Fact (IsCusp OnePoint.infty Γ)], (Filter.comap Complex.im Filter.atTop).ZeroAtFilter (⇑f ∘ ↑UpperHalfPlane.ofComplex)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeCuspFormClassFact
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- Factstatement and proof · cited by 2,726
- FunLikestatement and proof · cited by 2,560
- Filter.atTopstatement · cited by 2,405
- OpenPartialHomeomorph.toFun'statement · cited by 745
- UpperHalfPlanestatement and proof · cited by 626
- Complex.imstatement · cited by 591
- Filter.Tendsto.compproof · cited by 560
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