fact: Definition identity_is_Pullback_input {a b c : C}{f : C⟦b, a⟧} {g : C⟦c, a⟧} (Pb : Pullback f g) : total2 (fun hk : C⟦lim Pb, lim Pb⟧ => dirprod (hk · PullbackPr1 Pb = PullbackPr1 Pb)(hk · PullbackPr2 Pb = PullbackPr2 Pb)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.Combinatorics.StandardFiniteSets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits