Theorems · Definition · geometry

Orientation.rotation

{V : Type u_1} →
  [inst : NormedAddCommGroup V] →
    [inst_1 : InnerProductSpace ℝ V] →
      [Fact (Module.finrank ℝ V = 2)] → Orientation ℝ V (Fin 2) → Real.Angle → V ≃ₗᵢ[ℝ] V

A rotation by the oriented angle θ.

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation

Cited by

62 results in Mathlib

Foundations

Depth 270 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact