Theorems · Theorem · number theory
UpperHalfPlane.normSq_denom_pos
∀ (g : GL (Fin 2) ℝ) {z : ℂ}, z.im ≠ 0 → 0 < Complex.normSq (UpperHalfPlane.denom g z)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MonoidWithZeroHomstatement · cited by 704
- Complex.imstatement and proof · cited by 591
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Complex.normSqstatement · cited by 103
- UpperHalfPlane.denomstatement · cited by 84
- Complex.normSq_posproof · cited by 7
- UpperHalfPlane.denom_ne_zero_of_improof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- ModularGroup.cases_of_mem_fd_smul_mem_fdproof · cited by 2
- ModularGroup.exists_max_improof · cited by 1
- UpperHalfPlane.normSq_denom_ne_zeroproof · cited by 1
- ModularGroup.exists_one_half_le_im_smul_and_norm_denom_leproof · cited by 1