Theorems · Theorem · geometry

Projectivization.exists_smul_eq_mk_rep

∀ (K : Type u_1) {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] (v : V)
  (hv : v ≠ 0), ∃ a, a • v = (Projectivization.mk K v hv).rep

Defined in

Mathlib.LinearAlgebra.Projectivization.Basic

Cited by

2 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModule