From 4273a1ca0bbf8776e96aa3d90d15ace88f1673de Mon Sep 17 00:00:00 2001
From: Michael Zhang <mail@mzhang.io>
Date: Wed, 18 Sep 2024 16:27:15 -0500
Subject: [PATCH] add the j

---
 src/content/posts/2024-09-18-hcomp/index.lagda.md | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/src/content/posts/2024-09-18-hcomp/index.lagda.md b/src/content/posts/2024-09-18-hcomp/index.lagda.md
index eb3d87f..4cdc9b9 100644
--- a/src/content/posts/2024-09-18-hcomp/index.lagda.md
+++ b/src/content/posts/2024-09-18-hcomp/index.lagda.md
@@ -118,6 +118,11 @@ We can use $\mathsf{isProp}$ to generate us some faces, except using $x$ and $p(
 
 ![](./frontback.jpg)
 
+Writing this down as code, we get:
+
+* $(j = \mathsf{i0}) \rightarrow f(x, p(i), k)$
+* $(j = \mathsf{i1}) \rightarrow f(x, q(i), k)$
+
 This time, the $i$ dimension has the $\mathsf{refl}$ edges.
 Since all the edges on the bottom face as $\mathsf{refl}$, we can just use the constant $\mathsf{refl}_{\mathsf{refl}_x}$ as the bottom face.
 In cubical, this is the constant expression `x`.