Theorems · Inductive type · geometry

Projectivization.Independent

{ι : Type u_1} →
  {K : Type u_2} →
    {V : Type u_3} →
      [inst : DivisionRing K] → [inst_1 : AddCommGroup V] → [inst_2 : Module K V] → (ι → Projectivization K V) → Prop

A linearly independent family of nonzero vectors gives an independent family of points in projective space.

Defined in

Mathlib.LinearAlgebra.Projectivization.Independence

Cited by

6 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModule