Theorems · Theorem · complex analysis
Complex.arg_ofReal_of_nonneg
∀ {x : ℝ}, 0 ≤ x → (↑x).arg = 0- Cited by
- 16 results in Mathlib
- Foundations
- Depth 190 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
- Norm.normproof · cited by 5,413
- absproof · cited by 1,814
- Real.piproof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.improof · cited by 591
- zero_divproof · cited by 222
- Complex.argstatement · cited by 220
- Real.arcsinproof · cited by 125
- Complex.norm_realproof · cited by 105
- Real.arcsin_zeroproof · cited by 9
Cited by16
Results whose statement or proof uses this declaration.
- Complex.norm_cpow_eq_rpow_re_of_posproof · cited by 21
- Orientation.oangle_selfproof · cited by 17
- Complex.ofReal_logproof · cited by 14
- Complex.norm_cpow_eq_rpow_re_of_nonnegproof · cited by 4
- Complex.ofReal_cpow_of_nonposproof · cited by 4
- Complex.arg_neg_coe_angleproof · cited by 3
- Complex.arg_eq_zero_iffproof · cited by 3
- Complex.natCast_argproof · cited by 3
- hasSum_mellin_pi_mul_sqproof · cited by 3
- Polynomial.sub_one_pow_totient_lt_cyclotomic_evalproof · cited by 2
- Complex.inv_cpow_ofReal_nonnegproof · cited by 1
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1