Theorems · Theorem · geometry

EuclideanGeometry.angle_sub_const

∀ {V : Type u_1} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] (v₁ v₂ v₃ v : V),
  EuclideanGeometry.angle (v₁ - v) (v₂ - v) (v₃ - v) = EuclideanGeometry.angle v₁ v₂ v₃

Angles in a vector space are translation invariant.

Defined in: Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine
Cited by: 0 results in Mathlib
Foundations: Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup InnerProductSpace

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Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
InnerProductSpacestatement and proof · cited by 3,523
EuclideanGeometry.anglestatement · cited by 187
EuclideanGeometry.angle_vsub_constproof · cited by 1

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