<sect1 id="tac_letin">
<title>letin <ident> ≝ <term></title>
<titleabbrev>letin</titleabbrev>
- <para>The tactic <command>letin</command> </para>
+ <para><userinput>letin x ≝ t</userinput></para>
+ <para>
+ <variablelist>
+ <varlistentry>
+ <term>Pre-conditions:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Action:</term>
+ <listitem>
+ <para>it adds to the context of the current sequent to prove a new
+ definition <command>x ≝ t</command>.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>New sequents to prove:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+ </para>
</sect1>
<sect1 id="tac_normalize">
<title>normalize <pattern></title>
<titleabbrev>normalize</titleabbrev>
- <para>The tactic <command>normalize</command> </para>
+ <para><userinput>normalize patt</userinput></para>
+ <para>
+ <variablelist>
+ <varlistentry>
+ <term>Pre-conditions:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Action:</term>
+ <listitem>
+ <para>it replaces all the terms matched by <command>patt</command>
+ with their βδιζ-normal form.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>New sequents to prove:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+ </para>
</sect1>
<sect1 id="tac_paramodulation">
<title>paramodulation <pattern></title>
<titleabbrev>paramodulation</titleabbrev>
- <para>The tactic <command>paramodulation</command> </para>
+ <para><userinput>paramodulation patt</userinput></para>
+ <para>
+ <variablelist>
+ <varlistentry>
+ <term>Pre-conditions:</term>
+ <listitem>
+ <para>TODO.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Action:</term>
+ <listitem>
+ <para>TODO.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>New sequents to prove:</term>
+ <listitem>
+ <para>TODO.</para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+ </para>
</sect1>
<sect1 id="tac_reduce">
<title>reduce <pattern></title>
<titleabbrev>reduce</titleabbrev>
- <para>The tactic <command>reduce</command> </para>
+ <para><userinput>reduce patt</userinput></para>
+ <para>
+ <variablelist>
+ <varlistentry>
+ <term>Pre-conditions:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Action:</term>
+ <listitem>
+ <para>it replaces all the terms matched by <command>patt</command>
+ with their βδιζ-normal form.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>New sequents to prove:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+ </para>
</sect1>
<sect1 id="tac_reflexivity">
<title>reflexivity</title>
<sect1 id="tac_simplify">
<title>simplify <pattern></title>
<titleabbrev>simplify</titleabbrev>
- <para>The tactic <command>simplify</command> </para>
+ <para><userinput>simplify patt</userinput></para>
+ <para>
+ <variablelist>
+ <varlistentry>
+ <term>Pre-conditions:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Action:</term>
+ <listitem>
+ <para>it replaces all the terms matched by <command>patt</command>
+ with other convertible terms that are supposed to be simpler.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>New sequents to prove:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+ </para>
</sect1>
<sect1 id="tac_split">
<title>split</title>
<sect1 id="tac_whd">
<title>whd <pattern></title>
<titleabbrev>whd</titleabbrev>
- <para>The tactic <command>whd</command> </para>
+ <para><userinput>whd patt</userinput></para>
+ <para>
+ <variablelist>
+ <varlistentry>
+ <term>Pre-conditions:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>Action:</term>
+ <listitem>
+ <para>it replaces all the terms matched by <command>patt</command>
+ with their βδιζ-weak-head normal form.</para>
+ </listitem>
+ </varlistentry>
+ <varlistentry>
+ <term>New sequents to prove:</term>
+ <listitem>
+ <para>none.</para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+ </para>
</sect1>
</chapter>