<para><userinput>alias num (instance n) = "def"</userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
<para><emphasis role="bold">alias</emphasis>
- [<emphasis role="bold">id</emphasis> <emphasis role="bold">"</emphasis>&string;<emphasis role="bold">"</emphasis> <emphasis role="bold">=</emphasis> <emphasis role="bold">"</emphasis>&string;<emphasis role="bold">"</emphasis>
- | <emphasis role="bold">symbol</emphasis> <emphasis role="bold">"</emphasis>&string;<emphasis role="bold">"</emphasis> [<emphasis role="bold">(instance</emphasis> &nat;<emphasis role="bold">)</emphasis>] <emphasis role="bold">=</emphasis> <emphasis role="bold">"</emphasis>&string;<emphasis role="bold">"</emphasis>
- | <emphasis role="bold">num</emphasis> [<emphasis role="bold">(instance</emphasis> &nat;<emphasis role="bold">)</emphasis>] <emphasis role="bold">=</emphasis> <emphasis role="bold">"</emphasis>&string;<emphasis role="bold">"</emphasis>
+ [<emphasis role="bold">id</emphasis> &qstring; <emphasis role="bold">=</emphasis> &qstring;
+ | <emphasis role="bold">symbol</emphasis> &qstring; [<emphasis role="bold">(instance</emphasis> &nat;<emphasis role="bold">)</emphasis>] <emphasis role="bold">=</emphasis> &qstring;
+ | <emphasis role="bold">num</emphasis> [<emphasis role="bold">(instance</emphasis> &nat;<emphasis role="bold">)</emphasis>] <emphasis role="bold">=</emphasis> &qstring;
]
</para>
</listitem>
</sect1>
<sect1 id="command_check">
<title>check</title>
- <para><userinput></userinput></para>
+ <para><userinput>check t</userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
- <para><emphasis role="bold">check</emphasis>
- </para>
+ <para><emphasis role="bold">check</emphasis> &term;</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Opens a CIC browser window that shows <command>t</command>
+ together with its type. The command is immediately removed from
+ the script.</para>
</listitem>
</varlistentry>
</variablelist>
</sect1>
<sect1 id="command_coercion">
<title>coercion</title>
- <para><userinput></userinput></para>
+ <para><userinput>coercion u</userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
- <para><emphasis role="bold">coercion</emphasis>
- </para>
+ <para><emphasis role="bold">coercion</emphasis> &uri;</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Declares <command>u</command> as an implicit coercion
+ from the type of its last argument (source)
+ to its codomain (target). Every time a term <command>x</command>
+ of type source is used with expected type target, Matita
+ automatically replaces <command>x</command> with
+ <command>(u ? … ? x)</command> to avoid a typing error.</para>
+ <para>Implicit coercions are not displayed to the user:
+ <command>(u ? … ? x)</command> is rendered simply
+ as <command>x</command>.</para>
+ <para>When a coercion <command>u</command> is declared
+ from source <command>s</command> to target <command>t</command>
+ and there is already a coercion <command>u'</command> of
+ target <command>s</command> or source <command>t</command>,
+ a composite implicit coercion is automatically computed
+ by Matita.</para>
</listitem>
</varlistentry>
</variablelist>
</sect1>
<sect1 id="command_default">
<title>default</title>
- <para><userinput></userinput></para>
+ <para><userinput>default "s" u<subscript>1</subscript> … u<subscript>n</subscript></userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
<para><emphasis role="bold">default</emphasis>
+ &qstring; &uri; [&uri;]…
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>It registers a cluster of related definitions and
+ theorems to be used by tactics and the rendering engine.
+ Some functionalities of Matita are not available when some
+ clusters have not been registered. Overloading a cluster
+ registration is possible: the last registration will be the
+ default one, but the previous ones are still in effect.</para>
+ <para>
+ <command>s</command> is an identifier of the cluster and
+ <command>u<subscript>1</subscript> … u<subscript>n</subscript></command>
+ are the URIs of the definitions and theorems of the cluster.
+ The number <command>n</command> of required URIs depends on the
+ cluster. The following clusters are supported.
+ </para>
+ <table>
+ <title>clusters</title>
+ <tgroup cols="6">
+ <thead>
+ <row>
+ <entry>name</entry>
+ <entry>expected object for 1st URI</entry>
+ <entry>expected object for 2nd URI</entry>
+ <entry>expected object for 3rd URI</entry>
+ <entry>expected object for 4th URI</entry>
+ <entry>expected object for 5th URI</entry>
+ </row>
+ </thead>
+ <tbody>
+ <row>
+ <entry>equality</entry>
+ <entry>an inductive type (say, of type <command>eq</command>) of type ∀A:Type.A <emphasis role="bold">→</emphasis> <emphasis role="bold">Prop</emphasis> with one family parameter and one constructor of type ∀x:A.eq A x</entry>
+ <entry>a theorem of type <emphasis role="bold">∀</emphasis>A.<emphasis role="bold">∀</emphasis>x,y:A.eq A x y <emphasis role="bold">→</emphasis> eq A y x</entry>
+ <entry>a theorem of type <emphasis role="bold">∀</emphasis>A.<emphasis role="bold">∀</emphasis>x,y,z:A.eq A x y <emphasis role="bold">→</emphasis> eq A y z <emphasis role="bold">→</emphasis> eq A x z</entry>
+ <entry><emphasis role="bold">∀</emphasis>A.<emphasis role="bold">∀</emphasis>a.<emphasis role="bold">∀</emphasis> P:A <emphasis role="bold">→</emphasis> <emphasis role="bold">Prop</emphasis>.P x <emphasis role="bold">→</emphasis> <emphasis role="bold">∀</emphasis>y.eq A x y <emphasis role="bold">→</emphasis> P y</entry>
+ <entry><emphasis role="bold">∀</emphasis>A.<emphasis role="bold">∀</emphasis>a.<emphasis role="bold">∀</emphasis> P:A <emphasis role="bold">→</emphasis> <emphasis role="bold">Prop</emphasis>.P x <emphasis role="bold">→</emphasis> <emphasis role="bold">∀</emphasis>y.eq A y x <emphasis role="bold">→</emphasis> P y</entry>
+ </row>
+ <row>
+ <entry>true</entry>
+ <entry>an inductive type of type <emphasis role="bold">Prop</emphasis> with only one constructor that has no arguments</entry>
+ <entry/>
+ <entry/>
+ <entry/>
+ <entry/>
+ </row>
+ <row>
+ <entry>false</entry>
+ <entry>an inductive type of type <emphasis role="bold">Prop</emphasis> without constructors</entry>
+ <entry/>
+ <entry/>
+ <entry/>
+ <entry/>
+ </row>
+ <row>
+ <entry>absurd</entry>
+ <entry>a theorem of type <emphasis role="bold">∀</emphasis>A:Prop.<emphasis role="bold">∀</emphasis>B:Prop.A <emphasis role="bold">→</emphasis> Not A <emphasis role="bold">→</emphasis> B</entry>
+ <entry/>
+ <entry/>
+ <entry/>
+ <entry/>
+ </row>
+ </tbody>
+ </tgroup>
+ </table>
</listitem>
</varlistentry>
</variablelist>
</sect1>
<sect1 id="command_hint">
<title>hint</title>
- <para><userinput></userinput></para>
+ <para><userinput>hint</userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
<para><emphasis role="bold">hint</emphasis>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Displays a list of theorems that can be successfully
+ applied to the current selected sequent. The command is
+ removed from the script, but the window that displays the
+ theorems allow to add to the script the application of the
+ selected theorem.
+ </para>
</listitem>
</varlistentry>
</variablelist>
</sect1>
<sect1 id="command_include">
<title>include</title>
- <para><userinput></userinput></para>
+ <para><userinput>include "s"</userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
- <para><emphasis role="bold">include</emphasis>
- </para>
+ <para><emphasis role="bold">include</emphasis> &qstring;</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Every <link linkend="command_coercion">coercion</link>,
+ <link linkend="notation">notation</link> and
+ <link linkend="interpretation">interpretation</link> that was active
+ when the file <command>s</command> was compiled last time
+ is made active. The same happens for declarations of
+ <link linkend="command_default">default definitions and
+ theorems</link> and disambiguation
+ hints (<link linkend="command_alias">aliases</link>).
+ On the contrary, theorem and definitions declared in a file can be
+ immediately used without including it.</para>
+ <para>The file <command>s</command> is automatically compiled
+ if it is not compiled yet and if it is handled by a
+ <link linkend="developments">development</link>.
+ </para>
</listitem>
</varlistentry>
</variablelist>
</para>
</sect1>
<sect1 id="command_include_first">
- <title>include'</title>
+ <title>include' "s"</title>
<para><userinput></userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
- <para><emphasis role="bold">include'</emphasis>
- </para>
+ <para><emphasis role="bold">include'</emphasis> &qstring;</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Not documented (&TODO;), do not use it.</para>
</listitem>
</varlistentry>
</variablelist>
</sect1>
<sect1 id="command_set">
<title>set</title>
- <para><userinput></userinput></para>
+ <para><userinput>set "baseuri" "s"</userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
- <para><emphasis role="bold">set</emphasis>
- </para>
+ <para><emphasis role="bold">set</emphasis> &qstring; &qstring;</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Sets to <command>s</command> the baseuri of all the
+ theorems and definitions stated in the current file.
+ The baseuri should be <command>a/b/c/foo</command>
+ if the file is named <command>foo</command> and it is in
+ the subtree <command>a/b/c</command> of the current
+ <link linkend="developments">development</link>.
+ This requirement is not enforced, but it could be in the future.
+ </para>
+ <para>Currently, <command>baseuri</command> is the only
+ property that can be set even if the parser accepts
+ arbitrary property names.</para>
</listitem>
</varlistentry>
</variablelist>
</sect1>
<sect1 id="command_whelp">
<title>whelp</title>
- <para><userinput></userinput></para>
+ <para><userinput>whelp locate "s"</userinput></para>
+ <para><userinput>whelp hint t</userinput></para>
+ <para><userinput>whelp elim t</userinput></para>
+ <para><userinput>whelp match t</userinput></para>
+ <para><userinput>whelp instance t</userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
<para><emphasis role="bold">whelp</emphasis>
+ [<emphasis role="bold">locate</emphasis> &qstring;
+ | <emphasis role="bold">hint</emphasis> &term;
+ | <emphasis role="bold">elim</emphasis> &term;
+ | <emphasis role="bold">match</emphasis> &term;
+ | <emphasis role="bold">instance</emphasis> &term;
+ ]
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Performs the corresponding <link linkend="whelp">query</link>,
+ showing the result in the CIC browser. The command is removed
+ from the script.
+ </para>
</listitem>
</varlistentry>
</variablelist>
<para><userinput></userinput></para>
<para>
<variablelist>
- <varlistentry role="tactic.synopsis">
+ <varlistentry>
<term>Synopsis:</term>
<listitem>
<para><emphasis role="bold">qed</emphasis>
<varlistentry>
<term>Action:</term>
<listitem>
- <para>&TODO;</para>
+ <para>Saves and indexes the current interactive theorem or
+ definition.
+ In order to do this, the set of sequents still to be proved
+ must be empty.</para>
</listitem>
</varlistentry>
</variablelist>