From 8a2a27eb0611d13bd6355f6fa9fd460fc44927c0 Mon Sep 17 00:00:00 2001
From: Robbert Krebbers
Date: Sun, 10 Dec 2017 14:07:32 +0100
Subject: [PATCH] Docs: fix reference to America/Rutten.
---
docs/program-logic.tex | 6 ++----
1 file changed, 2 insertions(+), 4 deletions(-)
diff --git a/docs/program-logic.tex b/docs/program-logic.tex
index 3541c107..de5055c1 100644
--- a/docs/program-logic.tex
+++ b/docs/program-logic.tex
@@ -36,10 +36,8 @@ Furthermore, since the $\iFunc_i$ are locally contractive, so is $\textdom{ResF}
Now we can write down the recursive domain equation:
\[ \iPreProp \cong \UPred(\textdom{ResF}(\iPreProp, \iPreProp)) \]
-$\iPreProp$ is a COFE defined as the fixed-point of a locally contractive bifunctor.
-This fixed-point exists and is unique\footnote{We have not proven uniqueness in Coq.} by America and Rutten's theorem~\cite{America-Rutten:JCSS89,birkedal:metric-space}.
-We do not need to consider how the object is constructed.
-We only need the isomorphism, given by
+Here, $\iPreProp$ is a COFE defined as the fixed-point of a locally contractive bifunctor, which exists by \thmref{thm:america_rutten}.
+We do not need to consider how the object $\iPreProp$ is constructed, we only need the isomorphism, given by:
\begin{align*}
\Res &\eqdef \textdom{ResF}(\iPreProp, \iPreProp) \\
\iProp &\eqdef \UPred(\Res) \\
--
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