Theorems · Theorem · field theory
Complex.mul_conj
∀ (z : ℂ), z * (starRingEnd ℂ) z = ↑(Complex.normSq z)
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 2 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.
Cites19
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
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- mul_commproof · cited by 2,262
- Complex.ofRealstatement · cited by 1,654
- add_commproof · cited by 1,535
- neg_negproof · cited by 960
- Complex.reproof · cited by 882
- MonoidWithZeroHomstatement · cited by 704
- starRingEndstatement and proof · cited by 671
- Complex.improof · cited by 591
Cited by2
Results whose statement or proof uses this declaration.
- ModularGroup.tendsto_normSq_coprime_pairproof · cited by 1
- Complex.mul_inv_cancelproof · cited by 0