Theorems · Theorem · complex analysis
Complex.norm_eq_zero_iff
∀ {z : ℂ}, ‖z‖ = 0 ↔ z = 0- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 132 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.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- Complex.normSq_nonnegproof · cited by 14
- Complex.normSq_eq_zeroproof · cited by 3
- Real.sqrt_eq_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Complex.norm_map_zero'proof · cited by 0