Theorems · Theorem · geometry

Polygon.toTriangle_toPolygon

∀ {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] (poly : Polygon P 3) (h : Polygon.HasNondegenerateVertices R poly),
  Affine.Triangle.toPolygon (Polygon.toTriangle R poly h) = poly

Converting a 3-polygon to a triangle and back yields the original polygon.

Defined in

Mathlib.Geometry.Polygon.Basic

Cited by

0 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor