Theorems · Theorem · geometry

EuclideanGeometry.inversion_inversion

∀ {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] (c : P) {R : ℝ},
  R ≠ 0 → ∀ (x : P), EuclideanGeometry.inversion c R (EuclideanGeometry.inversion c R x) = x

Defined in

Mathlib.Geometry.Euclidean.Inversion.Basic

Cited by

5 results in Mathlib

Foundations

Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor