\[\begin{split}\newcommand{\alors}{\textsf{then}} \newcommand{\alter}{\textsf{alter}} \newcommand{\as}{\kw{as}} \newcommand{\Assum}[3]{\kw{Assum}(#1)(#2:#3)} \newcommand{\bool}{\textsf{bool}} \newcommand{\case}{\kw{case}} \newcommand{\conc}{\textsf{conc}} \newcommand{\cons}{\textsf{cons}} \newcommand{\consf}{\textsf{consf}} \newcommand{\conshl}{\textsf{cons\_hl}} \newcommand{\Def}[4]{\kw{Def}(#1)(#2:=#3:#4)} \newcommand{\emptyf}{\textsf{emptyf}} \newcommand{\End}{\kw{End}} \newcommand{\kwend}{\kw{end}} \newcommand{\EqSt}{\textsf{EqSt}} \newcommand{\even}{\textsf{even}} \newcommand{\evenO}{\textsf{even}_\textsf{O}} \newcommand{\evenS}{\textsf{even}_\textsf{S}} \newcommand{\false}{\textsf{false}} \newcommand{\filter}{\textsf{filter}} \newcommand{\Fix}{\kw{Fix}} \newcommand{\fix}{\kw{fix}} \newcommand{\for}{\textsf{for}} \newcommand{\forest}{\textsf{forest}} \newcommand{\from}{\textsf{from}} \newcommand{\Functor}{\kw{Functor}} \newcommand{\haslength}{\textsf{has\_length}} \newcommand{\hd}{\textsf{hd}} \newcommand{\ident}{\textsf{ident}} \newcommand{\In}{\kw{in}} \newcommand{\Ind}[4]{\kw{Ind}[#2](#3:=#4)} \newcommand{\ind}[3]{\kw{Ind}~[#1]\left(#2\mathrm{~:=~}#3\right)} \newcommand{\Indp}[5]{\kw{Ind}_{#5}(#1)[#2](#3:=#4)} \newcommand{\Indpstr}[6]{\kw{Ind}_{#5}(#1)[#2](#3:=#4)/{#6}} \newcommand{\injective}{\kw{injective}} \newcommand{\kw}[1]{\textsf{#1}} \newcommand{\lb}{\lambda} \newcommand{\length}{\textsf{length}} \newcommand{\letin}[3]{\kw{let}~#1:=#2~\kw{in}~#3} \newcommand{\List}{\textsf{list}} \newcommand{\lra}{\longrightarrow} \newcommand{\Match}{\kw{match}} \newcommand{\Mod}[3]{{\kw{Mod}}({#1}:{#2}\,\zeroone{:={#3}})} \newcommand{\ModA}[2]{{\kw{ModA}}({#1}=={#2})} \newcommand{\ModS}[2]{{\kw{Mod}}({#1}:{#2})} \newcommand{\ModType}[2]{{\kw{ModType}}({#1}:={#2})} \newcommand{\mto}{.\;} \newcommand{\Nat}{\mathbb{N}} \newcommand{\nat}{\textsf{nat}} \newcommand{\Nil}{\textsf{nil}} \newcommand{\nilhl}{\textsf{nil\_hl}} \newcommand{\nO}{\textsf{O}} \newcommand{\node}{\textsf{node}} \newcommand{\nS}{\textsf{S}} \newcommand{\odd}{\textsf{odd}} \newcommand{\oddS}{\textsf{odd}_\textsf{S}} \newcommand{\ovl}[1]{\overline{#1}} \newcommand{\Pair}{\textsf{pair}} \newcommand{\plus}{\mathsf{plus}} \newcommand{\Prod}{\textsf{prod}} \newcommand{\Prop}{\textsf{Prop}} \newcommand{\return}{\kw{return}} \newcommand{\Set}{\textsf{Set}} \newcommand{\si}{\textsf{if}} \newcommand{\sinon}{\textsf{else}} \newcommand{\Sort}{\mathcal{S}} \newcommand{\Str}{\textsf{Stream}} \newcommand{\Struct}{\kw{Struct}} \newcommand{\subst}[3]{#1\{#2/#3\}} \newcommand{\tl}{\textsf{tl}} \newcommand{\tree}{\textsf{tree}} \newcommand{\trii}{\triangleright_\iota} \newcommand{\true}{\textsf{true}} \newcommand{\Type}{\textsf{Type}} \newcommand{\unfold}{\textsf{unfold}} \newcommand{\WEV}[3]{\mbox{$#1[] \vdash #2 \lra #3$}} \newcommand{\WEVT}[3]{\mbox{$#1[] \vdash #2 \lra$}\\ \mbox{$ #3$}} \newcommand{\WF}[2]{{\mathcal{W\!F}}(#1)[#2]} \newcommand{\WFE}[1]{\WF{E}{#1}} \newcommand{\WFT}[2]{#1[] \vdash {\mathcal{W\!F}}(#2)} \newcommand{\WFTWOLINES}[2]{{\mathcal{W\!F}}\begin{array}{l}(#1)\\\mbox{}[{#2}]\end{array}} \newcommand{\with}{\kw{with}} \newcommand{\WS}[3]{#1[] \vdash #2 <: #3} \newcommand{\WSE}[2]{\WS{E}{#1}{#2}} \newcommand{\WT}[4]{#1[#2] \vdash #3 : #4} \newcommand{\WTE}[3]{\WT{E}{#1}{#2}{#3}} \newcommand{\WTEG}[2]{\WTE{\Gamma}{#1}{#2}} \newcommand{\WTM}[3]{\WT{#1}{}{#2}{#3}} \newcommand{\zeroone}[1]{[{#1}]} \newcommand{\zeros}{\textsf{zeros}} \end{split}\]

# Utilities

The distribution provides utilities to simplify some tedious works beside proof development, tactics writing or documentation.

## Using Coq as a library

In previous versions, `coqmktop` was used to build custom toplevels - for example for better debugging or custom static linking. Nowadays, the preferred method is to use `ocamlfind`.

The most basic custom toplevel is built using:

    % ocamlfind ocamlopt -thread -rectypes -linkall -linkpkg \
                  -package coq.toplevel \
                  topbin/coqtop_bin.ml -o my_toplevel.native

For example, to statically link `L`tac, you can just do:

    % ocamlfind ocamlopt -thread -rectypes -linkall -linkpkg \
                  -package coq.toplevel,coq.plugins.ltac \
                  topbin/coqtop_bin.ml -o my_toplevel.native

and similarly for other plugins.

## Building a Coq project with coq_makefile

The majority of Coq projects are very similar: a collection of `.v` files and eventually some `.ml` ones (a Coq plugin). The main piece of metadata needed in order to build the project are the command line options to `coqc` (e.g. `-R`, `Q`, `-I`, see command line options). Collecting the list of files and options is the job of the `_CoqProject` file.

A simple example of a `_CoqProject` file follows:

    -R theories/ MyCode
    -arg -w
    -arg all
    theories/foo.v
    theories/bar.v
    -I src/
    src/baz.ml4
    src/bazaux.ml
    src/qux_plugin.mlpack

where options `-R`, `-Q` and `-I` are natively recognized, as well as file names. The lines of the form `-arg foo` are used in order to tell to literally pass an argument `foo` to `coqc`: in the example, this allows to pass the two-word option `-w all` (see command line options).

Currently, both CoqIDE and Proof-General (version ≥ `4.3pre`) understand `_CoqProject` files and invoke Coq with the desired options.

The `coq_makefile` utility can be used to set up a build infrastructure for the Coq project based on makefiles. The recommended way of invoking `coq_makefile` is the following one:

    coq_makefile -f _CoqProject -o CoqMakefile

Such command generates the following files:

CoqMakefile

  is a generic makefile for `GNU Make` that provides targets to build the project (both `.v` and `.ml*` files), to install it system-wide in the `coq-contrib` directory (i.e. where Coq is installed) as well as to invoke coqdoc to generate HTML documentation.

CoqMakefile.conf

  contains make variables assignments that reflect the contents of the `_CoqProject` file as well as the path relevant to Coq.

An optional file `CoqMakefile.local` can be provided by the user in order to extend `CoqMakefile`. In particular one can declare custom actions to be performed before or after the build process. Similarly one can customize the install target or even provide new targets. Extension points are documented in paragraph CoqMakefile.local.

The extensions of the files listed in `_CoqProject` is used in order to decide how to build them. In particular:

- Coq files must use the `.v` extension

- OCaml files must use the `.ml` or `.mli` extension

- OCaml files that require pre processing for syntax extensions (like `VERNAC EXTEND`) must use the `.ml4` extension

- In order to generate a plugin one has to list all OCaml modules (i.e. `Baz` for `baz.ml`) in a `.mlpack` file (or `.mllib` file).

The use of `.mlpack` files has to be preferred over `.mllib` files, since it results in a “packed” plugin: All auxiliary modules (as `Baz` and `Bazaux`) are hidden inside the plugin’s "namespace" (`Qux_plugin`). This reduces the chances of begin unable to load two distinct plugins because of a clash in their auxiliary module names.

### CoqMakefile.local

The optional file `CoqMakefile.local` is included by the generated file `CoqMakefile`. It can contain two kinds of directives.

Variable assignment

The variable must belong to the variables listed in the `Parameters` section of the generated makefile. Here we describe only few of them.

CAMLPKGS

  can be used to specify third party findlib packages, and is passed to the OCaml compiler on building or linking of modules. Eg: `-package yojson`.

CAMLFLAGS

  can be used to specify additional flags to the OCaml compiler, like `-bin-annot` or `-w`....

COQC, COQDEP, COQDOC

  can be set in order to use alternative binaries (e.g. wrappers)

COQ_SRC_SUBDIRS

  can be extended by including other paths in which `*.cm*` files are searched. For example `COQ_SRC_SUBDIRS+=user-contrib/Unicoq` lets you build a plugin containing OCaml code that depends on the OCaml code of `Unicoq`

COQFLAGS

  override the flags passed to `coqc`. By default `-q`.

COQEXTRAFLAGS

  extend the flags passed to `coqc`

COQCHKFLAGS

  override the flags passed to `coqchk`. By default `-silent -o`.

COQCHKEXTRAFLAGS

  extend the flags passed to `coqchk`

COQDOCFLAGS

  override the flags passed to `coqdoc`. By default `-interpolate -utf8`.

COQDOCEXTRAFLAGS

  extend the flags passed to `coqdoc`

Rule extension

The following makefile rules can be extended.

Example

    pre-all::
            echo "This line is print before making the all target"
    install-extra::
            cp ThisExtraFile /there/it/goes

`pre-all::`

  run before the `all` target. One can use this to configure the project, or initialize sub modules or check dependencies are met.

`post-all::`

  run after the `all` target. One can use this to run a test suite, or compile extracted code.

`install-extra::`

  run after `install`. One can use this to install extra files.

`install-doc::`

  One can use this to install extra doc.

`uninstall::`

`uninstall-doc::`

`clean::`

`cleanall::`

`archclean::`

`merlin-hook::`

  One can append lines to the generated `.merlin` file extending this target.

### Timing targets and performance testing

The generated `Makefile` supports the generation of two kinds of timing data: per-file build-times, and per-line times for an individual file.

The following targets and Makefile variables allow collection of per- file timing data:

- `TIMED=1`

    passing this variable will cause `make` to emit a line describing the user-space build-time and peak memory usage for each file built.

    Note

    On `Mac OS`, this works best if you’ve installed `gnu-time`.

    Example

    For example, the output of `make TIMED=1` may look like this:

        COQDEP Fast.v
        COQDEP Slow.v
        COQC Slow.v
        Slow (user: 0.34 mem: 395448 ko)
        COQC Fast.v
        Fast (user: 0.01 mem: 45184 ko)

- `pretty-timed`

    this target stores the output of `make TIMED=1` into `time-of-build.log`, and displays a table of the times, sorted from slowest to fastest, which is also stored in `time-of-build-pretty.log`. If you want to construct the `log` for targets other than the default one, you can pass them via the variable `TGTS`, e.g., `make pretty-timed TGTS="a.vo b.vo"`.

    Note

    This target will append to the timing log; if you want a fresh start, you must remove the `filetime-of-build.log` or `run make cleanall`.

    Example

    For example, the output of `make pretty-timed` may look like this:

        COQDEP Fast.v
        COQDEP Slow.v
        COQC Slow.v
        Slow (user: 0.36 mem: 393912 ko)
        COQC Fast.v
        Fast (user: 0.05 mem: 45992 ko)
        Time     | File Name
        --------------------
        0m00.41s | Total
        --------------------
        0m00.36s | Slow
        0m00.05s | Fast

- `print-pretty-timed-diff`

    this target builds a table of timing changes between two compilations; run `make make-pretty-timed-before` to build the log of the “before” times, and run `make make-pretty-timed-after` to build the log of the “after” times. The table is printed on the command line, and stored in `time-of-build-both.log`. This target is most useful for profiling the difference between two commits in a repository.

    Note

    This target requires `python` to build the table.

    Note

    The `make-pretty-timed-before` and `make-pretty-timed-after` targets will append to the timing log; if you want a fresh start, you must remove the files `time-of-build-before.log` and `time-of-build-after.log` or run `make cleanall` before building either the “before” or “after” targets.

    Note

    The table will be sorted first by absolute time differences rounded towards zero to a whole-number of seconds, then by times in the “after” column, and finally lexicographically by file name. This will put the biggest changes in either direction first, and will prefer sorting by build-time over subsecond changes in build time (which are frequently noise); lexicographic sorting forces an order on files which take effectively no time to compile.

    Example

    For example, the output table from `make print-pretty-timed-diff` may look like this:

        After    | File Name | Before   || Change    | % Change
        --------------------------------------------------------
        0m00.39s | Total     | 0m00.35s || +0m00.03s | +11.42%
        --------------------------------------------------------
        0m00.37s | Slow      | 0m00.01s || +0m00.36s | +3600.00%
        0m00.02s | Fast      | 0m00.34s || -0m00.32s | -94.11%

The following targets and `Makefile` variables allow collection of per- line timing data:

- `TIMING=1`

    passing this variable will cause `make` to use `coqc -time` to write to a `.v.timing` file for each `.v` file compiled, which contains line-by-line timing information.

    Example

    For example, running `make all TIMING=1` may result in a file like this:

        Chars 0 - 26 [Require~Coq.ZArith.BinInt.] 0.157 secs (0.128u,0.028s)
        Chars 27 - 68 [Declare~Reduction~comp~:=~vm_c...] 0. secs (0.u,0.s)
        Chars 69 - 162 [Definition~foo0~:=~Eval~comp~i...] 0.153 secs (0.136u,0.019s)
        Chars 163 - 208 [Definition~foo1~:=~Eval~comp~i...] 0.239 secs (0.236u,0.s)

- `print-pretty-single-time-diff`

  >     print-pretty-single-time-diff BEFORE=path/to/file.v.before-timing AFTER=path/to/file.v.after-timing

  > this target will make a sorted table of the per-line timing differences between the timing logs in the `BEFORE` and `AFTER` files, display it, and save it to the file specified by the `TIME_OF_PRETTY_BUILD_FILE` variable, which defaults to `time-of-build-pretty.log`. To generate the `.v.before-timing` or `.v.after-timing` files, you should pass `TIMING=before` or `TIMING=after` rather than `TIMING=1`.

  > Note

  > The sorting used here is the same as in the `print-pretty-timed -diff` target.

  > Note

  > This target requires python to build the table.

  > Example

  > For example, running `print-pretty-single-time-diff` might give a table like this:

  >     After     | Code                                                | Before    || Change    | % Change
  >     ---------------------------------------------------------------------------------------------------
  >     0m00.50s  | Total                                               | 0m04.17s  || -0m03.66s | -87.96%
  >     ---------------------------------------------------------------------------------------------------
  >     0m00.145s | Chars 069 - 162 [Definition~foo0~:=~Eval~comp~i...] | 0m00.192s || -0m00.04s | -24.47%
  >     0m00.126s | Chars 000 - 026 [Require~Coq.ZArith.BinInt.]        | 0m00.143s || -0m00.01s | -11.88%
  >        N/A    | Chars 027 - 068 [Declare~Reduction~comp~:=~nati...] | 0m00.s    || +0m00.00s | N/A
  >     0m00.s    | Chars 027 - 068 [Declare~Reduction~comp~:=~vm_c...] |    N/A    || +0m00.00s | N/A
  >     0m00.231s | Chars 163 - 208 [Definition~foo1~:=~Eval~comp~i...] | 0m03.836s || -0m03.60s | -93.97%

- `all.timing.diff`, `path/to/file.v.timing.diff`

    The `path/to/file.v.timing.diff` target will make a `.v.timing.diff` file for the corresponding `.v` file, with a table as would be generated by the `print-pretty-single-time-diff` target; it depends on having already made the corresponding `.v.before-timing` and `.v.after-timing` files, which can be made by passing `TIMING=before` and `TIMING=after`. The `all.timing.diff` target will make such timing difference files for all of the `.v` files that the `Makefile` knows about. It will fail if some `.v.before-timing` or `.v.after-timing` files don’t exist.

    Note

    This target requires python to build the table.

### Reusing/extending the generated Makefile

Including the generated makefile with an include directive is discouraged. The contents of this file, including variable names and status of rules shall change in the future. Users are advised to include `Makefile.conf` or call a target of the generated Makefile as in `make -f Makefile target` from another Makefile.

One way to get access to all targets of the generated `CoqMakefile` is to have a generic target for invoking unknown targets.

Example

    # KNOWNTARGETS will not be passed along to CoqMakefile
    KNOWNTARGETS := CoqMakefile extra-stuff extra-stuff2
    # KNOWNFILES will not get implicit targets from the final rule, and so
    # depending on them won't invoke the submake
    # Warning: These files get declared as PHONY, so any targets depending
    # on them always get rebuilt
    KNOWNFILES   := Makefile _CoqProject

    .DEFAULT_GOAL := invoke-coqmakefile

    CoqMakefile: Makefile _CoqProject
            $(COQBIN)coq_makefile -f _CoqProject -o CoqMakefile

    invoke-coqmakefile: CoqMakefile
            $(MAKE) --no-print-directory -f CoqMakefile $(filter-out $(KNOWNTARGETS),$(MAKECMDGOALS))

    .PHONY: invoke-coqmakefile $(KNOWNFILES)

    ####################################################################
    ##                      Your targets here                         ##
    ####################################################################

    # This should be the last rule, to handle any targets not declared above
    %: invoke-coqmakefile
            @true

### Building a subset of the targets with `-j`

To build, say, two targets foo.vo and bar.vo in parallel one can use `make only TGTS="foo.vo bar.vo" -j`.

Note

`make foo.vo bar.vo -j` has a different meaning for the make utility, in particular it may build a shared prerequisite twice.

Note

For users of coq_makefile with version < 8.7

- Support for "subdirectory" is deprecated. To perform actions before or after the build (like invoking `make` on a subdirectory) one can hook in pre-all and post-all extension points.

- `-extra-phony` and `-extra` are deprecated. To provide additional target (`.PHONY` or not) please use `CoqMakefile.local`.

## Module dependencies

In order to compute module dependencies (so to use `make`), Coq comes with an appropriate tool, `coqdep`.

`coqdep` computes inter-module dependencies for Coq and OCaml programs, and prints the dependencies on the standard output in a format readable by make. When a directory is given as argument, it is recursively looked at.

Dependencies of Coq modules are computed by looking at `Require` commands (`Require`, `Require Export`, `Require Import`), but also at the command `Declare ML Module`.

Dependencies of OCaml modules are computed by looking at `open` commands and the dot notation module.value. However, this is done approximately and you are advised to use `ocamldep` instead for the OCaml module dependencies.

See the man page of `coqdep` for more details and options.

The build infrastructure generated by `coq_makefile` uses `coqdep` to automatically compute the dependencies among the files part of the project.

## Documenting Coq files with coqdoc

coqdoc is a documentation tool for the proof assistant Coq, similar to `javadoc` or `ocamldoc`. The task of coqdoc is

1. to produce a nice LaTeX and/or HTML document from Coq source files, readable for a human and not only for the proof assistant;

2. to help the user navigate his own (or third-party) sources.

### Principles

Documentation is inserted into Coq files as special comments. Thus your files will compile as usual, whether you use coqdoc or not. coqdoc presupposes that the given Coq files are well-formed (at least lexically). Documentation starts with `(**`, followed by a space, and ends with `*)`. The documentation format is inspired by Todd A. Coram’s Almost Free Text (AFT) tool: it is mainly `ASCII` text with some syntax-light controls, described below. coqdoc is robust: it shouldn’t fail, whatever the input is. But remember: “garbage in, garbage out”.

#### Coq material inside documentation.

Coq material is quoted between the delimiters `[` and `]`. Square brackets may be nested, the inner ones being understood as being part of the quoted code (thus you can quote a term like `fun x => u` by writing `[fun x => u]`). Inside quotations, the code is pretty-printed in the same way as it is in code parts.

Preformatted vernacular is enclosed by `[[` and `]]`. The former must be followed by a newline and the latter must follow a newline.

#### Pretty-printing.

coqdoc uses different faces for identifiers and keywords. The pretty- printing of Coq tokens (identifiers or symbols) can be controlled using one of the following commands:

    (** printing  *token* %...LATEX...% #...html...# *)

or

    (** printing  *token* $...LATEX math...$ #...html...# *)

It gives the LaTeX and HTML texts to be produced for the given Coq token. Either the LaTeX or the HTML rule may be omitted, causing the default pretty-printing to be used for this token.

The printing for one token can be removed with

    (** remove printing  *token* *)

Initially, the pretty-printing table contains the following mapping:

`->` | → |  | `<-` | ← |  | `*` | ×
`<=` | ≤ |  | `>=` | ≥ |  | `=>` | ⇒
`<>` | ≠ |  | `<->` | ↔ |  | `|-` | ⊢
`\/` | ∨ |  | `/\` | ∧ |  | `~` | ¬

Any of these can be overwritten or suppressed using the printing commands.

Note

The recognition of tokens is done by a (`ocaml`) lex automaton and thus applies the longest-match rule. For instance, `->~` is recognized as a single token, where Coq sees two tokens. It is the responsibility of the user to insert space between tokens or to give pretty-printing rules for the possible combinations, e.g.

    (** printing ->~ %\ensuremath{\rightarrow\lnot}% *)

#### Sections

Sections are introduced by 1 to 4 asterisks at the beginning of a line followed by a space and the title of the section. One asterisk is a section, two a subsection, etc.

Example

    (** * Well-founded relations

        In this section, we introduce...  *)

#### Lists.

List items are introduced by a leading dash. coqdoc uses whitespace to determine the depth of a new list item and which text belongs in which list items. A list ends when a line of text starts at or before the level of indenting of the list’s dash. A list item’s dash must always be the first non-space character on its line (so, in particular, a list can not begin on the first line of a comment - start it on the second line instead).

Example

    We go by induction on [n]:
    - If [n] is 0...
    - If [n] is [S n'] we require...

      two paragraphs of reasoning, and two subcases:

      - In the first case...
      - In the second case...

    So the theorem holds.

#### Rules.

More than 4 leading dashes produce a horizontal rule.

#### Emphasis.

Text can be italicized by enclosing it in underscores. A non-identifier character must precede the leading underscore and follow the trailing underscore, so that uses of underscores in names aren’t mistaken for emphasis. Usually, these are spaces or punctuation.

    This sentence contains some _emphasized text_.

#### Escaping to LaTeX and HTML.

Pure LaTeX or HTML material can be inserted using the following escape sequences:

- `$...LATEX stuff...$` inserts some LaTeX material in math mode. Simply discarded in HTML output.

- `%...LATEX stuff...%` inserts some LaTeX material. Simply discarded in HTML output.

- `#...HTML stuff...#` inserts some HTML material. Simply discarded in LaTeX output.

Note

to simply output the characters `$`, `%` and `#` and escaping their escaping role, these characters must be doubled.

#### Verbatim

Verbatim material is introduced by a leading `<<` and closed by `>>` at the beginning of a line.

Example

    Here is the corresponding caml code:
    <<
      let rec fact n =
        if n <= 1 then 1 else n * fact (n-1)
    >>

#### Hyperlinks

Hyperlinks can be inserted into the HTML output, so that any identifier is linked to the place of its definition.

`coqc file.v` automatically dumps localization information in `file.glob` or appends it to a file specified using the option `--dump-glob file`. Take care of erasing this global file, if any, when starting the whole compilation process.

Then invoke coqdoc or `coqdoc --glob-from file` to tell coqdoc to look for name resolutions in the file `file` (it will look in `file.glob` by default).

Identifiers from the Coq standard library are linked to the Coq website http://coq.inria.fr/library/. This behavior can be changed using command line options `--no-externals` and `--coqlib`; see below.

#### Hiding / Showing parts of the source.

Some parts of the source can be hidden using command line options `-g` and `-l` (see below), or using such comments:

    (* begin hide *)
     *some Coq material*
    (* end hide *)

Conversely, some parts of the source which would be hidden can be shown using such comments:

    (* begin show *)
     *some Coq material*
    (* end show *)

The latter cannot be used around some inner parts of a proof, but can be used around a whole proof.

### Usage

coqdoc is invoked on a shell command line as follows: `coqdoc <options and files>`. Any command line argument which is not an option is considered to be a file (even if it starts with a `-`). Coq files are identified by the suffixes `.v` and `.g` and LaTeX files by the suffix `.tex`.

HTML output

  This is the default output format. One HTML file is created for each Coq file given on the command line, together with a file `index.html` (unless `option-no-index is passed`). The HTML pages use a style sheet named `style.css`. Such a file is distributed with coqdoc.

LaTeX output

  A single LaTeX file is created, on standard output. It can be redirected to a file using the option `-o`. The order of files on the command line is kept in the final document. LaTeX files given on the command line are copied ‘as is’ in the final document . DVI and PostScript can be produced directly with the options `-dvi` and `-ps` respectively.

TEXmacs output

  To translate the input files to TEXmacs format, to be used by the TEXmacs Coq interface.

#### Command line options

Overall options

> --HTML

>   Select a HTML output.

> --LaTeX

>   Select a LaTeX output.

> --dvi

>   Select a DVI output.

> --ps

>   Select a PostScript output.

> --texmacs

>   Select a TEXmacs output.

> --stdout

>   Write output to stdout.

> -o file, --output file

>   Redirect the output into the file ‘file’ (meaningless with `-html`).

> -d dir, --directory dir

>   Output files into directory ‘dir’ instead of the current directory (option `-d` does not change the filename specified with the option `-o`, if any).

> --body-only

>   Suppress the header and trailer of the final document. Thus, you can insert the resulting document into a larger one.

> -p string, --preamble string

>   Insert some material in the LaTeX preamble, right before `\begin{document}` (meaningless with `-html`).

> --vernac-file file,--tex-file file

>   Considers the file ‘file’ respectively as a `.v` (or `.g`) file or a `.tex` file.

> --files-from file

>   Read filenames to be processed from the file ‘file’ as if they were given on the command line. Useful for program sources split up into several directories.

> -q, --quiet

>   Be quiet. Do not print anything except errors.

> -h, --help

>   Give a short summary of the options and exit.

> -v, --version

>   Print the version and exit.

Index options

> The default behavior is to build an index, for the HTML output only, into `index.html`.

> --no-index

>   Do not output the index.

> --multi-index

>   Generate one page for each category and each letter in the index, together with a top page `index.html`.

> --index string

>   Make the filename of the index string instead of “index”. Useful since “index.html” is special.

Table of contents option

> -toc, --table-of-contents

>   Insert a table of contents. For a LaTeX output, it inserts a `\tableofcontents` at the beginning of the document. For a HTML output, it builds a table of contents into `toc.html`.

> --toc-depth int

>   Only include headers up to depth `int` in the table of contents.

Hyperlink options

> --glob-from file

>   Make references using Coq globalizations from file file. (Such globalizations are obtained with Coq option `-dump-glob`).

> --no-externals

>   Do not insert links to the Coq standard library.

> --external url coqdir

>   Use given URL for linking references whose name starts with prefix `coqdir`.

> --coqlib url

>   Set base URL for the Coq standard library (default is http://coq.inria.fr/library/). This is equivalent to `--external url Coq`.

> -R dir coqdir

>   Map physical directory dir to Coq logical directory `coqdir` (similarly to Coq option `-R`).

>   Note

>   option `-R` only has effect on the files following it on the command line, so you will probably need to put this option first.

Title options

> -s , --short

>   Do not insert titles for the files. The default behavior is to insert a title like “Library Foo” for each file.

> --lib-name string

>   Print “string Foo” instead of “Library Foo” in titles. For example “Chapter” and “Module” are reasonable choices.

> --no-lib-name

>   Print just “Foo” instead of “Library Foo” in titles.

> --lib-subtitles

>   Look for library subtitles. When enabled, the beginning of each file is checked for a comment of the form:

>       (** * ModuleName : text *)

>   where `ModuleName` must be the name of the file. If it is present, the text is used as a subtitle for the module in appropriate places.

> -t string, --title string

>   Set the document title.

Contents options

> -g, --gallina

>   Do not print proofs.

> -l, --light

>   Light mode. Suppress proofs (as with `-g`) and the following commands:

>   > - [Recursive] Tactic Definition

>   > - Hint / Hints

>   > - Require

>   > - Transparent / Opaque

>   > - Implicit Argument / Implicits

>   > - Section / Variable / Hypothesis / End

>   The behavior of options `-g` and `-l` can be locally overridden using the `(* begin show *) … (* end show *)` environment (see above).

>   There are a few options that control the parsing of comments:

> --parse-comments

>   Parse regular comments delimited by `(*` and `*)` as well. They are typeset inline.

> --plain-comments

>   Do not interpret comments, simply copy them as plain-text.

> --interpolate

>   Use the globalization information to typeset identifiers appearing in Coq escapings inside comments.

Language options

> The default behavior is to assume ASCII 7 bit input files.

> -latin1, --latin1

>   Select ISO-8859-1 input files. It is equivalent to --inputenc latin1 --charset iso-8859-1.

> -utf8, --utf8

>   Set --inputenc utf8x for LaTeX output and--charset utf-8 for HTML output. Also use Unicode replacements for a couple of standard plain ASCII notations such as → for `->` and ∀ for `forall`. LaTeX UTF-8 support can be found at http://www.ctan.org/pkg/unicode. For the interpretation of Unicode characters by LaTeX, extra packages which coqdoc does not provide by default might be required, such as textgreek for some Greek letters or `stmaryrd` for some mathematical symbols. If a Unicode character is missing an interpretation in the utf8x input encoding, add `\DeclareUnicodeCharacter{code}{LATEX-interpretation}`. Packages and declarations can be added with option `-p`.

> --inputenc string

>   Give a LaTeX input encoding, as an option to LaTeX package `inputenc`.

> --charset string

>   Specify the HTML character set, to be inserted in the HTML header.

### The coqdoc LaTeX style file

In case you choose to produce a document without the default LaTeX preamble (by using option `--no-preamble`), then you must insert into your own preamble the command

    \usepackage{coqdoc}

The package optionally takes the argument `[color]` to typeset identifiers with colors (this requires the `xcolor` package).

Then you may alter the rendering of the document by redefining some macros:

coqdockw, coqdocid, …

  The one-argument macros for typesetting keywords and identifiers. Defaults are sans-serif for keywords and italic for identifiers.For example, if you would like a slanted font for keywords, you may insert

      \renewcommand{\coqdockw}[1]{\textsl{#1}}

  anywhere between `\usepackage{coqdoc}` and `\begin{document}`.

coqdocmodule

  One-argument macro for typesetting the title of a `.v` file. Default is

      \newcommand{\coqdocmodule}[1]{\section*{Module #1}}

  and you may redefine it using `\renewcommand`.

## Embedded Coq phrases inside LaTeX documents

When writing documentation about a proof development, one may want to insert Coq phrases inside a LaTeX document, possibly together with the corresponding answers of the system. We provide a mechanical way to process such Coq phrases embedded in LaTeX files: the `coq-tex` filter. This filter extracts Coq phrases embedded in LaTeX files, evaluates them, and insert the outcome of the evaluation after each phrase.

Starting with a file `file.tex` containing Coq phrases, the `coq-tex` filter produces a file named `file.v.tex` with the Coq outcome.

There are options to produce the Coq parts in smaller font, italic, between horizontal rules, etc. See the man page of `coq-tex` for more details.

## Man pages

There are man pages for the commands `coqdep` and `coq-tex`. Man pages are installed at installation time (see installation instructions in file `INSTALL`, step 6).