proposition: Lemma K_0_eqn {M:ExactCategory} (E : ShortExactSequence M) : K_0_class (Ob2 E) = K_0_class (Ob1 E) + K_0_class (Ob3 E).
proof: Proof. apply iscompsetquotpr. apply generated_binopeqrel_intro. apply hinhpr. exists E. split; reflexivity. Defined.
imports: UniMath.Tactics.EnsureStructuredProofs UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.ExactCategories.ExactCategories UniMath.Algebra.Groups UniMath.Algebra.Free_Monoids_and_Groups