Theorems · Theorem · geometry

vsub_mem_vectorSpan_pair

∀ (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] (p₁ p₂ : P), p₁ -ᵥ p₂ ∈ vectorSpan k {p₁, p₂}

The difference between two points lies in their vectorSpan.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

1 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor