From 40654301df3232dde0ec2530c6215af1aa477760 Mon Sep 17 00:00:00 2001
From: Haniel Barbosa <hanielbbarbosa@gmail.com>
Date: Wed, 23 Jun 2021 14:23:16 -0300
Subject: [PATCH] adding forall equiv rule

---
 spec/doc.tex | 9 +++++++++
 1 file changed, 9 insertions(+)

diff --git a/spec/doc.tex b/spec/doc.tex
index a2257ec..84e9119 100644
--- a/spec/doc.tex
+++ b/spec/doc.tex
@@ -2335,6 +2335,15 @@ with $1 \leq k \leq n$.
       &(\currule)\\
     \end{plList}
   \end{plContainer}
+
+  \begin{plContainer}
+    \begin{plList}
+      \Gamma\proofsep&
+      i.& \operatorname{\forall x_1, \dots, x_n.} \varphi \leftrightarrow \operatorname{\neg\exists x_1, \dots, x_n.} \neg\varphi
+      &(\currule)\\
+    \end{plList}
+  \end{plContainer}
+
 \end{proof-rule}
 
 \begin{proof-rule}{and_simplify}{veriT}
-- 
GitLab