Theorems · Theorem · number theory
UpperHalfPlane.im_smul
∀ (g : GL (Fin 2) ℝ) (z : UpperHalfPlane), (g • z).im = |(UpperHalfPlane.num g ↑z / UpperHalfPlane.denom g ↑z).im|
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Units.valproof · cited by 1,966
- absstatement and proof · cited by 1,814
- starRingEndproof · cited by 671
- UpperHalfPlanestatement and proof · cited by 626
- Complex.imstatement and proof · cited by 591
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- not_ltproof · cited by 306
- UpperHalfPlane.coestatement and proof · cited by 288
Cited by1
Results whose statement or proof uses this declaration.
- UpperHalfPlane.tendsto_smul_atImInftyproof · cited by 2