Theorems · Theorem · number theory
SlashInvariantForm.exists_one_half_le_im_and_norm_le
∀ {F : Type u_1} [inst : FunLike F UpperHalfPlane ℂ] {k : ℤ}
[SlashInvariantFormClass F (Matrix.SpecialLinearGroup.mapGL ℝ).range k],
k ≤ 0 → ∀ (f : F) (τ : UpperHalfPlane), ∃ ξ, 1 / 2 ≤ ξ.im ∧ ‖f τ‖ ≤ ‖f ξ‖- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
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- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- Matrixstatement · cited by 4,303
- FunLikestatement and proof · cited by 2,560
- norm_nonnegproof · cited by 725
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- MonoidHom.rangestatement and proof · cited by 314
- Subgroup.mapproof · cited by 301
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