1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
|
\documentclass[12pt]{report}
\usepackage[utf8x]{inputenc}
%Warning: tipa declares many non-standard macros used by utf8x to
%interpret utf8 characters but extra packages might have to be added
%such as "textgreek" for Greek letters not already in tipa
%or "stmaryrd" for mathematical symbols.
%Utf8 codes missing a LaTeX interpretation can be defined by using
%\DeclareUnicodeCharacter{code}{interpretation}.
%Use coqdoc's option -p to add new packages or declarations.
\usepackage{tipa}
\usepackage[T1]{fontenc}
\usepackage{fullpage}
\usepackage{coqdoc}
\usepackage{amsmath,amssymb}
\usepackage{url}
\begin{document}
\coqlibrary{Coqdoc.links}{Library }{Coqdoc.links}
\begin{coqdoccode}
\end{coqdoccode}
Various checks for coqdoc
\begin{itemize}
\item symbols should not be inlined in string g
\item links to both kinds of notations in a' should work to the right notation
\item with utf8 option, forall must be unicode
\item splitting between symbols and ident should be correct in a' and c
\item ``..'' should be rendered correctly
\end{itemize}
\begin{coqdoccode}
\coqdocemptyline
\coqdocnoindent
\coqdockw{Require} \coqdockw{Import} \coqexternalref{}{http://coq.inria.fr/stdlib/Coq.Strings.String}{\coqdoclibrary{String}}.\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Definition} \coqdef{Coqdoc.links.g}{g}{\coqdocdefinition{g}} := "dfjkh""sdfhj forall <> * \~{}"\%\coqdocvar{string}.\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Definition} \coqdef{Coqdoc.links.a}{a}{\coqdocdefinition{a}} (\coqdocvar{b}: \coqexternalref{nat}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocinductive{nat}}) := \coqdocvariable{b}.\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Definition} \coqdef{Coqdoc.links.f}{f}{\coqdocdefinition{f}} := \coqdockw{\ensuremath{\forall}} \coqdocvar{C}:\coqdockw{Prop}, \coqdocvariable{C}.\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Notation} \coqdef{Coqdoc.links.::x '++' x}{"}{"}n ++ m" := (\coqexternalref{plus}{http://coq.inria.fr/stdlib/Coq.Init.Peano}{\coqdocabbreviation{plus}} \coqdocvar{n} \coqdocvar{m}).\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Notation} \coqdef{Coqdoc.links.::x '++' x}{"}{"}n ++ m" := (\coqexternalref{mult}{http://coq.inria.fr/stdlib/Coq.Init.Peano}{\coqdocabbreviation{mult}} \coqdocvar{n} \coqdocvar{m}). \coqdocemptyline
\coqdocnoindent
\coqdockw{Notation} \coqdef{Coqdoc.links.::x '**' x}{"}{"}n ** m" := (\coqexternalref{plus}{http://coq.inria.fr/stdlib/Coq.Init.Peano}{\coqdocabbreviation{plus}} \coqdocvar{n} \coqdocvar{m}) (\coqdoctac{at} \coqdockw{level} 60).\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Notation} \coqdef{Coqdoc.links.::x 'xE2x96xB5' x}{"}{"}n ▵ m" := (\coqexternalref{plus}{http://coq.inria.fr/stdlib/Coq.Init.Peano}{\coqdocabbreviation{plus}} \coqdocvar{n} \coqdocvar{m}) (\coqdoctac{at} \coqdockw{level} 60).\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Notation} \coqdef{Coqdoc.links.::x ''' ''' '++' 'x' x}{"}{"}n '\_' ++ 'x' m" := (\coqexternalref{plus}{http://coq.inria.fr/stdlib/Coq.Init.Peano}{\coqdocabbreviation{plus}} \coqdocvar{n} \coqdocvar{m}) (\coqdoctac{at} \coqdockw{level} 3).\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Inductive} \coqdef{Coqdoc.links.eq}{eq}{\coqdocinductive{eq}} (\coqdocvar{A}:\coqdockw{Type}) (\coqdocvar{x}:\coqdocvariable{A}) : \coqdocvar{A} \coqexternalref{:type scope:x '->' x}{http://coq.inria.fr/stdlib/Coq.Init.Logic}{\coqdocnotation{\ensuremath{\rightarrow}}} \coqdockw{Prop} := \coqdef{Coqdoc.links.eq refl}{eq\_refl}{\coqdocconstructor{eq\_refl}} : \coqdocvariable{x} \coqref{Coqdoc.links.:type scope:x '=' x ':>' x}{\coqdocnotation{=}} \coqdocvariable{x} \coqref{Coqdoc.links.:type scope:x '=' x ':>' x}{\coqdocnotation{:>}}\coqdocvariable{A}\coqdoceol
\coqdocnoindent
\coqdoceol
\coqdocnoindent
\coqdockw{where} \coqdef{Coqdoc.links.:type scope:x '=' x ':>' x}{"}{"}x = y :> A" := (@\coqref{Coqdoc.links.eq}{\coqdocinductive{eq}} \coqdocvar{A} \coqdocvar{x} \coqdocvar{y}) : \coqdocvar{type\_scope}.\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Definition} \coqdef{Coqdoc.links.eq0}{eq0}{\coqdocdefinition{eq0}} := 0 \coqref{Coqdoc.links.:type scope:x '=' x ':>' x}{\coqdocnotation{=}} 0 \coqref{Coqdoc.links.:type scope:x '=' x ':>' x}{\coqdocnotation{:>}} \coqexternalref{nat}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocinductive{nat}}.\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Notation} \coqdef{Coqdoc.links.::'(' x 'x23' x ';' '..' ';' x ')'}{"}{"}( x \# y ; .. ; z )" := (\coqexternalref{pair}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocconstructor{pair}} .. (\coqexternalref{pair}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocconstructor{pair}} \coqdocvar{x} \coqdocvar{y}) .. \coqdocvar{z}).\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Definition} \coqdef{Coqdoc.links.b xCExB1}{b\_α}{\coqdocdefinition{b\_α}} := \coqexternalref{:core scope:'(' x ',' x ',' '..' ',' x ')'}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocnotation{(}}\coqref{Coqdoc.links.::'(' x 'x23' x ';' '..' ';' x ')'}{\coqdocnotation{(}}0\coqref{Coqdoc.links.::'(' x 'x23' x ';' '..' ';' x ')'}{\coqdocnotation{\#}}0\coqref{Coqdoc.links.::'(' x 'x23' x ';' '..' ';' x ')'}{\coqdocnotation{;}}0\coqref{Coqdoc.links.::'(' x 'x23' x ';' '..' ';' x ')'}{\coqdocnotation{)}} \coqexternalref{:core scope:'(' x ',' x ',' '..' ',' x ')'}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocnotation{,}} \coqexternalref{:core scope:'(' x ',' x ',' '..' ',' x ')'}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocnotation{(}}0 \coqref{Coqdoc.links.::x '**' x}{\coqdocnotation{**}} 0\coqexternalref{:core scope:'(' x ',' x ',' '..' ',' x ')'}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocnotation{))}}.\coqdoceol
\coqdocemptyline
\coqdocnoindent
\coqdockw{Notation} \coqdef{Coqdoc.links.h}{h}{\coqdocabbreviation{h}} := \coqref{Coqdoc.links.a}{\coqdocdefinition{a}}.\coqdoceol
\coqdocemptyline
\coqdocindent{1.00em}
\coqdockw{Section} \coqdef{Coqdoc.links.test}{test}{\coqdocsection{test}}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Variables} \coqdef{Coqdoc.links.test.b'}{b'}{\coqdocvariable{b'}} \coqdef{Coqdoc.links.test.b2}{b2}{\coqdocvariable{b2}}: \coqexternalref{nat}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocinductive{nat}}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Notation} \coqdef{Coqdoc.links.test.:my scope:x '+' x}{"}{"}n + m" := (\coqdocvar{n} \coqref{Coqdoc.links.::x 'xE2x96xB5' x}{\coqdocnotation{▵}} \coqdocvar{m}) : \coqdocvar{my\_scope}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Delimit} \coqdockw{Scope} \coqdocvar{my\_scope} \coqdockw{with} \coqdocvar{my}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Notation} \coqdef{Coqdoc.links.l}{l}{\coqdocabbreviation{l}} := 0.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Definition} \coqdef{Coqdoc.links.xCExB1}{α}{\coqdocdefinition{α}} := (0 \coqref{Coqdoc.links.test.:my scope:x '+' x}{\coqdocnotation{+}} \coqref{Coqdoc.links.l}{\coqdocabbreviation{l}})\%\coqdocvar{my}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Definition} \coqdef{Coqdoc.links.a'}{a'}{\coqdocdefinition{a'}} \coqdocvar{b} := \coqdocvariable{b'}\coqref{Coqdoc.links.::x '++' x}{\coqdocnotation{++}}0\coqref{Coqdoc.links.::x '++' x}{\coqdocnotation{++}}\coqdocvariable{b2} \coqref{Coqdoc.links.::x ''' ''' '++' 'x' x}{\coqdocnotation{\_}} \coqref{Coqdoc.links.::x ''' ''' '++' 'x' x}{\coqdocnotation{++}}\coqref{Coqdoc.links.::x ''' ''' '++' 'x' x}{\coqdocnotation{x}} \coqdocvariable{b}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Definition} \coqdef{Coqdoc.links.c}{c}{\coqdocdefinition{c}} := \coqexternalref{:type scope:'x7B' x 'x7D' '+' 'x7B' x 'x7D'}{http://coq.inria.fr/stdlib/Coq.Init.Specif}{\coqdocnotation{\{}}\coqexternalref{True}{http://coq.inria.fr/stdlib/Coq.Init.Logic}{\coqdocinductive{True}}\coqexternalref{:type scope:'x7B' x 'x7D' '+' 'x7B' x 'x7D'}{http://coq.inria.fr/stdlib/Coq.Init.Specif}{\coqdocnotation{\}+\{}}\coqexternalref{True}{http://coq.inria.fr/stdlib/Coq.Init.Logic}{\coqdocinductive{True}}\coqexternalref{:type scope:'x7B' x 'x7D' '+' 'x7B' x 'x7D'}{http://coq.inria.fr/stdlib/Coq.Init.Specif}{\coqdocnotation{\}}}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Definition} \coqdef{Coqdoc.links.d}{d}{\coqdocdefinition{d}} := (1\coqexternalref{:nat scope:x '+' x}{http://coq.inria.fr/stdlib/Coq.Init.Peano}{\coqdocnotation{+}}2)\%\coqdocvar{nat}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Lemma} \coqdef{Coqdoc.links.e}{e}{\coqdoclemma{e}} : \coqexternalref{nat}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocinductive{nat}} \coqexternalref{:type scope:x '+' x}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocnotation{+}} \coqexternalref{nat}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocinductive{nat}}.\coqdoceol
\coqdocindent{2.00em}
\coqdocvar{Admitted}.\coqdoceol
\coqdocemptyline
\coqdocindent{1.00em}
\coqdockw{End} \coqref{Coqdoc.links.test}{\coqdocsection{test}}.\coqdoceol
\coqdocemptyline
\coqdocindent{1.00em}
\coqdockw{Section} \coqdef{Coqdoc.links.test2}{test2}{\coqdocsection{test2}}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Variables} \coqdef{Coqdoc.links.test2.b'}{b'}{\coqdocvariable{b'}}: \coqexternalref{nat}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocinductive{nat}}.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{Section} \coqdef{Coqdoc.links.test2.test}{test}{\coqdocsection{test}}.\coqdoceol
\coqdocemptyline
\coqdocindent{3.00em}
\coqdockw{Variables} \coqdef{Coqdoc.links.test2.test.b2}{b2}{\coqdocvariable{b2}}: \coqexternalref{nat}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocinductive{nat}}.\coqdoceol
\coqdocemptyline
\coqdocindent{3.00em}
\coqdockw{Definition} \coqdef{Coqdoc.links.a''}{a'{}'}{\coqdocdefinition{a'{}'}} \coqdocvar{b} := \coqdocvariable{b'} \coqref{Coqdoc.links.::x '++' x}{\coqdocnotation{++}} \coqexternalref{O}{http://coq.inria.fr/stdlib/Coq.Init.Datatypes}{\coqdocconstructor{O}} \coqref{Coqdoc.links.::x '++' x}{\coqdocnotation{++}} \coqdocvariable{b2} \coqref{Coqdoc.links.::x ''' ''' '++' 'x' x}{\coqdocnotation{\_}} \coqref{Coqdoc.links.::x ''' ''' '++' 'x' x}{\coqdocnotation{++}} \coqref{Coqdoc.links.::x ''' ''' '++' 'x' x}{\coqdocnotation{x}} \coqdocvariable{b} \coqexternalref{:nat scope:x '+' x}{http://coq.inria.fr/stdlib/Coq.Init.Peano}{\coqdocnotation{+}} \coqref{Coqdoc.links.h}{\coqdocabbreviation{h}} 0.\coqdoceol
\coqdocemptyline
\coqdocindent{2.00em}
\coqdockw{End} \coqref{Coqdoc.links.test2.test}{\coqdocsection{test}}.\coqdoceol
\coqdocemptyline
\coqdocindent{1.00em}
\coqdockw{End} \coqref{Coqdoc.links.test2}{\coqdocsection{test2}}.\coqdoceol
\coqdocemptyline
\end{coqdoccode}
skip
skip
skip
skip
skip
skip
skip
skip
skip
skip
skip
skip
skip
skip \begin{coqdoccode}
\coqdocemptyline
\end{coqdoccode}
\end{document}
|
