Theorems · Theorem · geometry

vsub_set_subset_vectorSpan

∀ (k : Type u_1) {V : Type u_2} {P : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] (s : Set P), s -ᵥ s ⊆ ↑(vectorSpan k s)

The s -ᵥ s lies within the vectorSpan k s.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

2 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor