Lemma isweq_yoneda_map_1 (C : category) (c : C) (F : functor C^op HSET) : isweq (yoneda_map_1 C c F). Proof. set (T:=yoneda_map_2 C c F). simpl in T. use isweq_iso. - apply T. - apply yoneda_map_1_2. - apply yoneda_map_2_1. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.CategoryTheory.Categories.HSET.MonoEpiIso. Require Import UniMath.CategoryTheory.whiskering.