Theorems · Theorem · geometry

mem_affineSpan

∀ (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] {p : P} {s : Set P}, p ∈ s → p ∈ affineSpan k s

A point in a set is in its affine span.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

34 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor