Theorems · Theorem · number theory
UpperHalfPlane.ne_zero
∀ (z : UpperHalfPlane), ↑z ≠ 0
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 103 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.
- Complexstatement · cited by 5,565
- UpperHalfPlanestatement and proof · cited by 626
- Complex.improof · cited by 591
- UpperHalfPlane.coestatement · cited by 288
- UpperHalfPlane.im_ne_zeroproof · cited by 18
Cited by7
Results whose statement or proof uses this declaration.
- UpperHalfPlane.normSq_posproof · cited by 5
- EisensteinSeries.summable_left_one_div_linear_sub_one_div_linearproof · cited by 1
- UpperHalfPlane.isOpenMap_normproof · cited by 1
- UpperHalfPlane.int_div_mem_integerComplementproof · cited by 0
- ModularGroup.stabilizer_of_neproof · cited by 0
- EisensteinSeries.tsum_symmetricIco_tsum_eq_S_actproof · cited by 0
- ModularForm.discriminant_S_invariantproof · cited by 0