Theorems · Theorem · field theory
Complex.normSq_neg
∀ (z : ℂ), Complex.normSq (-z) = Complex.normSq z
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- neg_negproof · cited by 960
- Complex.reproof · cited by 882
- MonoidWithZeroHomstatement · cited by 704
- neg_mulproof · cited by 654
- Complex.improof · cited by 591
- mul_negproof · cited by 590
- Complex.normSqstatement · cited by 103
Cited by5
Results whose statement or proof uses this declaration.
- AnalyticAt.harmonicAt_log_normproof · cited by 4
- Complex.normSq_subproof · cited by 2
- Complex.norm_neg'proof · cited by 0
- ModularGroup.normSq_S_smul_lt_oneproof · cited by 0
- Complex.normSq_ofReal_sub_I_mul_sqrt_one_subproof · cited by 0