diff --git a/cheatsheet.html b/cheatsheet.html
index 2e3520abd62493c1b2cdd4a1ad4cb56688fa242a..38dfa9ae4786d03fb0e191e255bb7f5497d2c03a 100644
--- a/cheatsheet.html
+++ b/cheatsheet.html
@@ -52,6 +52,10 @@
 		<td>move /evP</td>
 		<td>Rephrase the top of the proof stack using the reflection lemma <code>evP</code>.</td>
 	</tr>
+	<tr>
+		<td>move: {H}</td>
+		<td>Clear hypothesis <code>H</code>.</td>
+	</tr>
 	<tr>
 		<td>case: m</td>
 		<td>Destruct <code>m</code>, which must be inductively defined (This includes propositions). Creates one subgoal for every constructor. Note: <code>m</code> may be a complex expression, as long as its type is inductive. TODO: <code>case</code> also calls <code>injection</code>.</td>
@@ -88,6 +92,10 @@
 		<td>case: H => <-</td>
 		<td>Do a case analysis on the equation <code>H</code>, move the result to the context, rewrite with it, and forget about it.</td>
 	</tr>
+	<tr>
+		<td>case: eqnP</td>
+		<td>TODO</td>
+	</tr>
 	<tr>
 		<td>case</td>
 		<td>Use case on the first variable in the proof tree.</td>
@@ -156,6 +164,14 @@
 		<td>rewrite /function</td>
 		<td>Unfold the definition of <code>function</code>.</td>
 	</tr>
+	<tr>
+		<td>subst x</td>
+		<td>Find an assumption of the form <code>x=e</code> or <code>e=x</code>, use it for rewriting and clear the assumption.</td>
+	</tr>
+	<tr>
+		<td>subst</td>
+		<tr>Substitute everything.</tr>
+	</tr>
 	<tr>
 		<td>have H2 := (H1 a b)</td>
 		<td>Adds a new hypothesis <code>H2</code> to the context which is <code>H1</code> applied to <code>a</code> and <code>b</code>.</td>
@@ -200,6 +216,22 @@
 		<td>constructor</td>
 		<td>Apply the first matching constructor.</td>
 	</tr>
+	<tr>
+		<td>omega</td>
+		<td>Solve most arithmetic expressions with <code>+</code>, <code>-</code>, and <code>*</code>.</td>
+	</tr>
+</table>
+
+<h1>Tacticals</h1>
+<table>
+	<tr>
+		<td>try [tactic]</td>
+		<td>Execute <code>tactic</code> if this would work, do nothing if this would fail (Useful in conjunction with the <code>;</code> tactical).</td>
+	</tr>
+	<tr>
+		<td>do</td>
+		<td>TODO</td>
+	</tr>
 </table>
 
 <h1>Commands</h1>