Theorems · Theorem · field theory
Complex.normSq_eq_zero
∀ {z : ℂ}, Complex.normSq z = 0 ↔ z = 0- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- add_commproof · cited by 1,535
- Complex.reproof · cited by 882
- MonoidWithZeroHomstatement · cited by 704
- Complex.improof · cited by 591
- Complex.normSqstatement and proof · cited by 103
- Complex.extproof · cited by 28
- Complex.normSq_zeroproof · cited by 1
- eq_zero_of_mul_self_add_mul_self_eq_zeroproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Complex.normSq_posproof · cited by 7
- Complex.norm_eq_zero_iffproof · cited by 1
- Complex.mul_inv_cancelproof · cited by 0