Theorems · Theorem · geometry

Projectivization.finrank_submodule

∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  (v : Projectivization K V), Module.finrank K ↥v.submodule = 1

Defined in

Mathlib.LinearAlgebra.Projectivization.Basic

Cited by

1 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModule