proposition: Lemma isBinCoproduct'_to_isBinCoproduct : isBinCoproduct' -> isBinCoproduct _ _ _ co i1 i2.
proof: Proof. intros isBCP' ? f g. apply (@iscontrweqf (hfiber (isBinCoproduct'_weq isBCP' _) (make_dirprod f g))). - use weqfibtototal; intro; cbn. unfold precomp_with_injections. apply pathsdirprodweq. - apply weqproperty. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.ProductCategory