Theorems · Theorem · number theory
UpperHalfPlane.coe_im
∀ (z : UpperHalfPlane), (↑z).im = z.im
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
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 · cited by 25,697
- UpperHalfPlanestatement and proof · cited by 626
- Complex.imstatement · cited by 591
- UpperHalfPlane.coestatement · cited by 288
- UpperHalfPlane.imstatement · cited by 128
Cited by7
Results whose statement or proof uses this declaration.
- UpperHalfPlane.norm_qParam_lt_oneproof · cited by 5
- UpperHalfPlane.tendsto_coe_atImInftyproof · cited by 2
- UpperHalfPlane.dist_of_re_eqproof · cited by 2
- ModularGroup.im_T_zpow_smulproof · cited by 2
- UpperHalfPlane.gl_smul_eq_self_iff_eq_fixedPtproof · cited by 1
- UpperHalfPlane.im_smulproof · cited by 1
- UpperHalfPlane.sinh_half_dist_add_distproof · cited by 1