Theorems · Theorem · complex analysis
Complex.angle_mul_right
∀ {a : ℂ}, a ≠ 0 → ∀ (x y : ℂ), InnerProductGeometry.angle (x * a) (y * a) = InnerProductGeometry.angle x y- Defined in
- Mathlib.Analysis.Complex.Angle
- Cited by
- 1 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- mul_commproof · cited by 2,262
- InnerProductGeometry.anglestatement and proof · cited by 170
- Complex.angle_mul_leftproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Complex.angle_div_left_eq_angle_mul_rightproof · cited by 2