Theorems · Theorem · geometry

AffineSubspace.coe_affineSpan_singleton

∀ (k : Type u_1) (V : Type u_2) {P : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [S : AddTorsor V P] (p : P), ↑(affineSpan k {p}) = {p}

The affine span of a single point, coerced to a set, contains just that point.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic

Cited by

3 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor