Theorems · Theorem · geometry

AffineSubspace.direction_smul

∀ {k : Type u_2} {V : Type u_3} [inst : Field k] [inst_1 : AddCommGroup V] [inst_2 : Module k V] {a : k},
  a ≠ 0 → ∀ (s : AffineSubspace k V), (a • s).direction = s.direction

Defined in

Mathlib.LinearAlgebra.AffineSpace.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldAddCommGroupModule