LeftIdentity vector_plus vector_zero. Proof. intros v; apply path_vector; intros i Hi. rewrite 2 entry_Build_Vector. apply left_identity. Defined.
Require Import Basics.Overture Basics.Trunc Basics.Tactics Basics.PathGroupoids. Require Import Types.Sigma. Require Import Algebra.AbGroups.AbelianGroup Algebra.Rings.Ring Algebra.Rings.Module. Require Import Spaces.Nat.Core. Require Import Spaces.List.Core Spaces.List.Theory Spaces.List.Paths. Require Import abstract_algebra.