Theorems · Theorem · field theory
Complex.add_conj
∀ (z : ℂ), z + (starRingEnd ℂ) z = ↑(2 * z.re)
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 105 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 · cited by 62,936
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Complex.restatement and proof · cited by 882
- starRingEndstatement · cited by 671
- Complex.improof · cited by 591
- two_mulproof · cited by 232
- add_neg_cancelproof · cited by 213
- Complex.ext_iffproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- Complex.re_eq_add_conjproof · cited by 7
- LinearIsometry.im_apply_eq_improof · cited by 1
- Polynomial.quadratic_dvd_of_aeval_eq_zero_im_ne_zeroproof · cited by 0