Theorems · Theorem · geometry

AffineSubspace.coe_injective

∀ {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], Function.Injective SetLike.coe

Two affine subspaces are equal if they have the same points.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

7 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

RingAddCommGroupModuleAddTorsor