Theorems · Theorem · real analysis
Complex.cpow_inv_two_re
∀ (x : ℂ), (x ^ 2⁻¹).re = √((‖x‖ + x.re) / 2)
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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 and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- LT.lt.leproof · cited by 2,189
- Complex.restatement and proof · cited by 882
- norm_nonnegproof · cited by 725
- div_eq_mul_invproof · cited by 715
- one_divproof · cited by 624
- Real.sqrtstatement and proof · cited by 545
- Real.cosproof · cited by 424
- mul_addproof · cited by 413
Cited by6
Results whose statement or proof uses this declaration.
- RCLike.sqrt_eq_iteproof · cited by 4
- Complex.re_sqrt_ofRealproof · cited by 2
- Complex.sqrt_neg_of_nonnegproof · cited by 2
- Complex.sqrt_Iproof · cited by 1
- Complex.sqrt_eq_real_add_iteproof · cited by 1
- Complex.sqrt_neg_Iproof · cited by 1