Theorems · Theorem · number theory
UpperHalfPlane.im_inv_neg_coe_pos
∀ (z : UpperHalfPlane), 0 < (-↑z)⁻¹.im
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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 · cited by 25,697
- Complexstatement · cited by 5,565
- neg_negproof · cited by 960
- UpperHalfPlanestatement and proof · cited by 626
- Complex.imstatement and proof · cited by 591
- div_posproof · cited by 337
- UpperHalfPlane.coestatement and proof · cited by 288
- neg_divproof · cited by 161
- UpperHalfPlane.improof · cited by 128
- Complex.normSqproof · cited by 103
- UpperHalfPlane.im_posproof · cited by 62
Cited by7
Results whose statement or proof uses this declaration.
- UpperHalfPlane.modular_S_smulstatement and proof · cited by 9
- SlashInvariantForm.slash_S_applystatement and proof · cited by 1
- EisensteinSeries.G2_slash_actionproof · cited by 1
- ModularGroup.stabilizer_of_neproof · cited by 0
- ModularGroup.stabilizer_ρproof · cited by 0
- UpperHalfPlane.exists_SL2_smul_eq_of_apply_zero_one_ne_zeroproof · cited by 0
- ModularForm.discriminant_S_invariantproof · cited by 0