Theorems · Theorem · geometry

Affine.Triangle.toPolygon_toTriangle

∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring R] [inst_1 : AddCommGroup V] [inst_2 : Module R V]
  [inst_3 : AddTorsor V P] (t : Affine.Triangle R P), Polygon.toTriangle R (Affine.Triangle.toPolygon t) ⋯ = t

Converting a triangle to a polygon and back yields the original triangle.

Defined in

Mathlib.Geometry.Polygon.Basic

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor