Theorems · Theorem · complex analysis
Complex.arg_neg_coe_angle
∀ {x : ℂ}, x ≠ 0 → ↑(-x).arg = ↑x.arg + ↑Real.pi- Cited by
- 3 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- zero_addproof · cited by 2,366
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- Complex.reproof · cited by 882
- Complex.improof · cited by 591
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coestatement and proof · cited by 360
- two_mulproof · cited by 232
- Complex.argstatement and proof · cited by 220
Cited by3
Results whose statement or proof uses this declaration.
- Orientation.oangle_neg_rightproof · cited by 5
- Orientation.oangle_neg_leftproof · cited by 4
- Complex.continuousAt_arg_coe_angleproof · cited by 1