fact: Definition abgr_epi_cokernel_out_data_mult {A B C : abgr} (b1 b2 : B) (f : abgr_category⟦A, B⟧) (isE : isEpi f) (h : abgr_category⟦A, C⟧) (H : KernelArrow (abgr_Kernel f) · h = ZeroArrow abgr_Zero _ _) : (∑ x : C, ∏ (hfib : hfiber (pr1 f) b1), pr1 h (pr1 hfib) = x) -> (∑ x : C, ∏ (hfib : hfiber (pr1 f) b2), pr1 h (pr1 hfib) = x) -> (∑ x : C, ∏ (hfib : hfiber (pr1 f) (b1 * b2)%multmonoid), pr1 h (pr1 hfib) = x).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.Algebra.BinaryOperations UniMath.Algebra.Groups UniMath.Algebra.Monoids UniMath.NumberSystems.Integers UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.CategoriesWithBinOps UniMath.CategoryTheory.PrecategoriesWithAbgrops UniMath.CategoryTheory.PreAdditive UniMath.CategoryTheory.Additive UniMath.CategoryTheory.Abelian UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.Kernels UniMath.CategoryTheory.Limits.Cokernels UniMath.CategoryTheory.Limits.BinDirectSums