Definition terminal_category_iso_comma (T₁ : Terminal C₁) (T₂ : Terminal C₂) : Terminal (iso_comma F G). Proof. simple refine (_ ,, _). - refine ((pr1 T₁ ,, pr1 T₂) ,, _) ; cbn. exact (z_iso_Terminals (make_Terminal _ (HF _ (pr2 T₁))) (make_Terminal _ (HG _ (pr2 T₂)))). - apply isTerminal_iso_comma. + exact (pr2 T₁). + exact (pr2 T₂). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. 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.IsoCommaCategory. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.CategoryTheory.Limits.Initial. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Limits.Preservation.