Theorems · Theorem · complex analysis
Complex.arg_zpow_coe_angle
∀ (x : ℂ) (n : ℤ), ↑(x ^ n).arg = n • ↑x.arg
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- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Real.Anglestatement · cited by 518
- Real.Angle.coestatement and proof · cited by 360
- zpow_natCastproof · cited by 271
- Complex.argstatement and proof · cited by 220
- natCast_zsmulproof · cited by 118
- zpow_negSuccproof · cited by 92
- negSucc_zsmulproof · cited by 45
- Complex.arg_inv_coe_angleproof · cited by 2
- Complex.arg_pow_coe_angleproof · cited by 2
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