Theorems · Theorem · geometry

AffineSubspace.smul_span

∀ {M : Type u_1} {k : Type u_2} {V : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : DistribSMul M V] [inst_4 : SMulCommClass M k V] (a : M) (s : Set V),
  a • affineSpan k s = affineSpan k (a • s)

Defined in

Mathlib.LinearAlgebra.AffineSpace.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleDistribSMulSMulCommClass