Theorems · Definition · number theory
UpperHalfPlane.denom
GL (Fin 2) ℝ → ℂ → ℂ
Denominator of the formula for a fractional linear transformation
- Cited by
- 84 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Units.valproof · cited by 1,966
- Complex.ofRealproof · cited by 1,654
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
Cited by87
Results whose statement or proof uses this declaration.
- UpperHalfPlane.denom_ne_zerostatement · cited by 15
- UpperHalfPlane.coe_specialLinearGroup_applyproof · cited by 10
- EisensteinSeries.D2proof · cited by 8
- ModularForm.SL_slash_applystatement and proof · cited by 7
- ModularGroup.im_smul_eq_div_normSqstatement and proof · cited by 6
- UpperHalfPlane.normSq_denom_posstatement · cited by 4
- UpperHalfPlane.coe_smul_of_det_posstatement and proof · cited by 4
- UpperHalfPlane.denom_ne_zero_of_imstatement · cited by 4
- UpperHalfPlane.gl_smul_eq_iff_num_eqstatement and proof · cited by 4
- UpperHalfPlane.moebius_imstatement · cited by 3
- UpperHalfPlane.neg_smulproof · cited by 3
- UpperHalfPlane.petersson_slashproof · cited by 3