From 9aac1a22c4ff4b4be16800b86e34a94d358b0deb Mon Sep 17 00:00:00 2001
From: adelon <22380201+adelon@users.noreply.github.com>
Date: Wed, 16 Jul 2025 12:36:32 +0200
Subject: Add quantified calcs and relax tokenization

Use an `\iff`-calc to speed up `union_as_unions`. Also remove `in_implies_neq` which seems to interact badly with the choice axiom used by superposition-based proofs like Vampire in cut-down problems.
---
 library/set/regularity.tex | 4 ----
 1 file changed, 4 deletions(-)

(limited to 'library/set')

diff --git a/library/set/regularity.tex b/library/set/regularity.tex
index 068d6a8..10f4a1f 100644
--- a/library/set/regularity.tex
+++ b/library/set/regularity.tex
@@ -59,10 +59,6 @@
     Straightforward.
 \end{proof}
 
-\begin{proposition}\label{in_implies_neq}
-    If $a\in A$, then $a\neq A$.
-\end{proposition}
-
 \begin{proposition}\label{in_asymmetric}
     For all sets $a, b$ such that $a\in b$ we have $b\notin a$.
 \end{proposition}
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