Theorems · Theorem · geometry

Submodule.mk_mem_projectivization_iff

∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  (s : Submodule K V) {v : V} (hv : v ≠ 0), Projectivization.mk K v hv ∈ Submodule.projectivization s ↔ v ∈ s

Defined in

Mathlib.LinearAlgebra.Projectivization.Subspace

Cited by

1 results in Mathlib

Foundations

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

Assumes

DivisionRingAddCommGroupModule