proposition: Proposition profunctor_id {C₁ C₂ : category} (P : C₁ ↛ C₂) {y : C₂} {x : C₁} (h : P y x) : P #[ identity _ , identity _ ] h = h.
proof: Proof. exact (eqtohomot (functor_id P _) h). Qed.
imports: UniMath.Foundations.Preamble UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Categories.HSET.All