Theorems · Theorem · geometry

Polygon.HasNondegenerateVertices.three_le

∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} {n : ℕ} [inst : Ring R] [inst_1 : AddCommGroup V] [inst_2 : Module R V]
  [inst_3 : AddTorsor V P] [inst_4 : NeZero n] [Nontrivial R] {poly : Polygon P n},
  Polygon.HasNondegenerateVertices R poly → 3 ≤ n

Defined in

Mathlib.Geometry.Polygon.Basic

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorNeZeroNontrivial