Theorems · Theorem · number theory
UpperHalfPlane.denom_one
∀ (z : UpperHalfPlane), UpperHalfPlane.denom 1 ↑z = 1
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- zero_addproof · cited by 2,366
- Complex.ofRealproof · cited by 1,654
- MulZeroClass.zero_mulproof · cited by 1,625
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement · cited by 556
- UpperHalfPlane.coestatement and proof · cited by 288
- UpperHalfPlane.denomstatement · cited by 84
- Matrix.one_apply_neproof · cited by 39
- Matrix.one_apply_eqproof · cited by 35
Cited by3
Results whose statement or proof uses this declaration.
- EisensteinSeries.D2_oneproof · cited by 2
- ModularGroup.exists_one_half_le_im_smul_and_norm_denom_leproof · cited by 1
- ModularForm.eq_zero_of_neg_one_memproof · cited by 1