Theorems · Theorem · geometry

AffineSubspace.pointwise_vadd_eq_map

∀ {k : Type u_2} {V : Type u_3} {P : Type u_4} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] (v : V) (s : AffineSubspace k P),
  v +ᵥ s = AffineSubspace.map (↑(AffineEquiv.constVAdd k P v)) s

Defined in

Mathlib.LinearAlgebra.AffineSpace.Pointwise

Cited by

2 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor