Theorems · Theorem · complex analysis
Complex.norm_nonneg
∀ (z : ℂ), 0 ≤ ‖z‖
- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- Complex.normSqproof · cited by 103
- Real.sqrt_nonnegproof · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- Complex.abs_re_le_normproof · cited by 9
- Complex.norm_add_le'proof · cited by 0