Theorems · Theorem · complex analysis
Complex.arg_pow_coe_angle
∀ (x : ℂ) (n : ℕ), ↑(x ^ n).arg = n • ↑x.arg
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- Real.Anglestatement and proof · cited by 518
- pow_succproof · cited by 374
- zero_powproof · cited by 361
- Real.Angle.coestatement and proof · cited by 360
- Complex.argstatement and proof · cited by 220
- pow_ne_zeroproof · cited by 208
- zero_nsmulproof · cited by 137
- nsmul_zeroproof · cited by 73
- succ_nsmulproof · cited by 65
Cited by2
Results whose statement or proof uses this declaration.
- Circle.mem_centeredArc_divproof · cited by 1
- Complex.arg_zpow_coe_angleproof · cited by 0