Theorems · Theorem · geometry

signedDist_apply_linear

∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
  [inst_3 : NormedAddTorsor V P] (v : V) (p : P), (↑((signedDist v) p)).linear = (innerₗ V) (NormedSpace.normalize v)

Defined in

Mathlib.Geometry.Euclidean.SignedDist

Cited by

1 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor