Theorems · Theorem · field theory
Complex.normSq_pos
∀ {z : ℂ}, 0 < Complex.normSq z ↔ z ≠ 0- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- MonoidWithZeroHomstatement · cited by 704
- Complex.normSqstatement · cited by 103
- LE.le.lt_iff_neproof · cited by 34
- Complex.normSq_nonnegproof · cited by 14
- Complex.normSq_eq_zeroproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- UpperHalfPlane.normSq_posproof · cited by 5
- UpperHalfPlane.normSq_denom_posproof · cited by 4
- Complex.tsum_exp_neg_quadraticproof · cited by 3
- integral_gaussian_complexproof · cited by 2
- Complex.log_inv_eq_iteproof · cited by 2
- jacobiTheta₂'_functional_equationproof · cited by 1
- GaussianInt.norm_mod_ltproof · cited by 1