Theorems · Theorem · field theory
Complex.normSq_add_mul_I
∀ (x y : ℝ), Complex.normSq (↑x + ↑y * Complex.I) = x ^ 2 + y ^ 2
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 2 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.
Cites10
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 and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Complex.Istatement · cited by 866
- MonoidWithZeroHomstatement · cited by 704
- sqproof · cited by 280
- Complex.normSqstatement and proof · cited by 103
- Complex.mk_eq_add_mul_Iproof · cited by 5
- Complex.normSq_mkproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Complex.norm_add_mul_Iproof · cited by 2
- Complex.normSq_ofReal_add_I_mul_sqrt_one_subproof · cited by 2