Theorems · Theorem · complex analysis
Complex.arg_ofReal_of_neg
∀ {x : ℝ}, x < 0 → (↑x).arg = Real.pi- Cited by
- 5 results in Mathlib
- Foundations
- Depth 198 from the axioms · 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
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- Complex.argstatement · cited by 220
- Complex.arg_eq_pi_iffproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- Real.rpow_def_of_negproof · cited by 7
- Complex.ofReal_cpow_of_nonposproof · cited by 4
- Complex.arg_neg_coe_angleproof · cited by 3
- Complex.arg_neg_eq_arg_add_pi_iffproof · cited by 0
- Complex.arg_neg_eq_arg_sub_pi_iffproof · cited by 0