Theorems · Theorem · field theory
Complex.ofReal_inv
∀ (r : ℝ), ↑r⁻¹ = (↑r)⁻¹
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 62 results in Mathlib
- Foundations
- Depth 109 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.
- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.ofRealstatement · cited by 1,654
- neg_zeroproof · cited by 542
- zero_divproof · cited by 222
- Complex.ext_iffproof · cited by 20
- Complex.inv_improof · cited by 13
- Complex.inv_reproof · cited by 13
- div_self_mul_self'proof · cited by 6
Cited by62
Results whose statement or proof uses this declaration.
- Real.exp_negproof · cited by 28
- Complex.cpow_inv_two_reproof · cited by 6
- Real.rpow_neg_eq_inv_rpowproof · cited by 6
- Complex.cpow_inv_two_im_eq_sqrtproof · cited by 4
- cfcₙ_re_idproof · cited by 4
- cfc_re_idproof · cited by 4
- Real.inv_one_add_tan_sqproof · cited by 4
- WeakFEPair.h_feq'proof · cited by 3
- MeasureTheory.charFun_eq_fourierIntegral'proof · cited by 3
- HurwitzZeta.completedHurwitzZetaEven_one_subproof · cited by 3
- ProbabilityTheory.complexMGF_id_gaussianRealproof · cited by 3
- Real.cos_sqproof · cited by 3