Theorems · Theorem · geometry

Projectivization.Subspace.mem_submodule_iff

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

Defined in

Mathlib.LinearAlgebra.Projectivization.Subspace

Cited by

1 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModule