Theorems · Theorem · geometry

Orientation.continuousAt_oangle

∀ {V : Type u_1} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : Fact (Module.finrank ℝ V = 2)]
  (o : Orientation ℝ V (Fin 2)) {x : V × V}, x.1 ≠ 0 → x.2 ≠ 0 → ContinuousAt (fun y => o.oangle y.1 y.2) x

Oriented angles are continuous when the vectors involved are nonzero.

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Basic

Cited by

2 results in Mathlib

Foundations

Depth 277 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact