Definition θ_2 {B C:category} (F : [B, C]) (X : [B, [C^op, HSET]]) (x : θ_1 F X) : hSet := hProp_to_hSet (∀ (b' b:B) (f:b'-->b), (x b ⟲ F ▭ f = X ▭ f ⟳ x b' )) % logic.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.RepresentableFunctors.Precategories. Require Import UniMath.MoreFoundations.Tactics.