Theorems · Theorem · geometry

Collinear.coplanar

∀ {k : Type u_1} {V : Type u_2} {P : Type u_3} [inst : DivisionRing k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] {s : Set P}, Collinear k s → Coplanar k s

Collinear points are coplanar.

Defined in

Mathlib.LinearAlgebra.AffineSpace.FiniteDimensional

Cited by

3 results in Mathlib

Foundations

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

Assumes

DivisionRingAddCommGroupModuleAddTorsor