Theorems · Theorem · complex analysis
Complex.arg_div_coe_angle
∀ {x y : ℂ}, x ≠ 0 → y ≠ 0 → ↑(x / y).arg = ↑x.arg - ↑y.arg- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- sub_eq_add_negproof · cited by 1,023
- div_eq_mul_invproof · cited by 715
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coestatement and proof · cited by 360
- Complex.argstatement and proof · cited by 220
- inv_ne_zeroproof · cited by 99
- Complex.arg_mul_coe_angleproof · cited by 6
- Complex.arg_inv_coe_angleproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Complex.sameRay_iff_arg_div_eq_zeroproof · cited by 0