Theorems · Theorem · field theory
Complex.conj_ofReal
∀ (r : ℝ), (starRingEnd ℂ) ↑r = ↑r
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 41 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.
Cites8
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 and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- starRingEndstatement · cited by 671
- neg_zeroproof · cited by 542
- Complex.ext_iffproof · cited by 20
Cited by43
Results whose statement or proof uses this declaration.
- Complex.conjAeproof · cited by 16
- Complex.Gamma_ofRealproof · cited by 9
- HurwitzZeta.cosKernel_defproof · cited by 6
- HurwitzZeta.evenKernel_defproof · cited by 6
- Real.rpow_neg_eq_inv_rpowproof · cited by 6
- HurwitzZeta.sinKernel_defproof · cited by 5
- UpperHalfPlane.σ_ofRealproof · cited by 4
- Complex.exp_conjproof · cited by 4
- Complex.ofReal_cos_ofReal_reproof · cited by 3
- Complex.ofReal_exp_ofReal_reproof · cited by 3
- HurwitzZeta.oddKernel_defproof · cited by 3
- Complex.ofReal_sin_ofReal_reproof · cited by 3