Theorems · Theorem · field theory
Complex.ofReal_neg
∀ (r : ℝ), ↑(-r) = -↑r
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 130 results in Mathlib
- Foundations
- Depth 95 from the axioms, rests on 1,754 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- neg_zeroproof · cited by 542
- Complex.ext_iffproof · cited by 20
Cited by130
Results whose statement or proof uses this declaration.
- Real.sin_negproof · cited by 34
- Real.exp_negproof · cited by 28
- Real.cos_negproof · cited by 27
- UpperHalfPlane.modular_S_smulproof · cited by 9
- Complex.cos_piproof · cited by 8
- intervalIntegral.intervalIntegrable_cpow'proof · cited by 7
- Complex.arg_eq_pi_iffproof · cited by 7
- Real.rpow_neg_eq_inv_rpowproof · cited by 6
- HurwitzZeta.evenKernel_defproof · cited by 6
- Complex.Gamma_ne_zeroproof · cited by 6
- Real.cosh_eqproof · cited by 5
- Real.sinh_eqproof · cited by 5