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4   <head>
5     <meta http-equiv="Content-Language" content="en-us" />
6     <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
7     <meta http-equiv="Content-Style-Type" content="text/css" />
8     <meta name="author" content="Ferruccio Guidi" />
9     <meta name="description" content="\lambda\delta home page" />
10     <title>\lambda\delta home page</title>
11     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css" />
12     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css" />
13     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css" />
14     <link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico" />
15   </head>
16   <body lang="en-US">
17     <div class="spacer">
18       <a href="http://lambdadelta.info/">
19         <img class="icon32" alt="[\lambda\delta home]" title="\lambda\delta home" src="http://lambdadelta.info/images/crux_32.png" />
20       </a>
21     </div>
22     <div class="head1">cic:/matita/lambdadelta/ground_2/ (background for λδ version 2)</div>
23     <div class="spacer">
24       <img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
25     </div>
26     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
27       <br />
28     </div>
29     <div xmlns:ld="http://lambdadelta.info/" class="text">
30       <table cellpadding="4" cellspacing="0">
31         <tbody>
32           <tr>
33             <td class="snns capitalize italic sky">
34               <a href="http://lambdadelta.info/home.html">home</a>
35             </td>
36             <td class="snns capitalize italic magenta">
37               <a href="http://lambdadelta.info/news.html">news</a>
38             </td>
39             <td class="snns capitalize italic white">
40               <a href="http://lambdadelta.info/specification.html">specification</a>
41             </td>
42             <td class="snnn capitalize italic white">
43               <br />
44             </td>
45             <td class="snnn capitalize italic white">
46               <br />
47             </td>
48             <td class="snns capitalize italic orange">
49               <a href="http://lambdadelta.info/documentation.html">documentation</a>
50             </td>
51             <td class="snns capitalize italic green">
52               <a href="http://lambdadelta.info/implementation.html">implementation</a>
53             </td>
54             <td class="ssnn capitalize italic green">
55               <br />
56             </td>
57           </tr>
58           <tr>
59             <td class="snns capitalize sky">
60               <a href="http://lambdadelta.info/home.html#foreword">foreword</a>
61             </td>
62             <td class="snns capitalize magenta">
63               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
64             </td>
65             <td class="snns capitalize white">
66               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
67             </td>
68             <td class="snnn capitalize white">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
69             <td class="snnn capitalize white">
70               <br />
71             </td>
72             <td class="snns capitalize orange">
73               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
74             </td>
75             <td class="snns capitalize green">
76               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
77             </td>
78             <td class="ssnn capitalize green">
79               <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
80             </td>
81           </tr>
82           <tr>
83             <td class="snss capitalize sky">
84               <a href="http://lambdadelta.info/home.html#citations">citations</a>
85             </td>
86             <td class="snss capitalize magenta">
87               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
88             </td>
89             <td class="snss capitalize white">
90               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
91             </td>
92             <td class="snsn capitalize white">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
93             <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
94             <td class="snss capitalize orange">
95               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
96             </td>
97             <td class="snss capitalize green">
98               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
99             </td>
100             <td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
101           </tr>
102         </tbody>
103       </table>
104     </div>
105     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
106     </div>
107     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
108          and its timeline.
109    </div>
110     <div xmlns:ld="http://lambdadelta.info/" class="text">
111       <table cellpadding="4" cellspacing="0">
112         <tbody>
113           <tr>
114             <td class="snns capitalize italic gray">category</td>
115             <td class="snns italic gray">units</td>
116             <td class="snnn right italic gray">
117               <br />
118             </td>
119             <td class="snnn italic gray">
120               <br />
121             </td>
122             <td class="snnn right italic gray">
123               <br />
124             </td>
125             <td class="snnn italic gray">
126               <br />
127             </td>
128             <td class="ssnn right italic gray">
129               <br />
130             </td>
131           </tr>
132           <tr>
133             <td class="snns capitalize italic water">sizes</td>
134             <td class="snns italic water">characters (files)</td>
135             <td class="snnn right italic water">145725 (104)</td>
136             <td class="snns italic water">nodes (objects)</td>
137             <td class="snnn right italic water">337452 (911)</td>
138             <td class="snns italic water">intrinsic loss factor</td>
139             <td class="ssnn right italic water">2.3</td>
140           </tr>
141           <tr>
142             <td class="snns capitalize italic green">propositions</td>
143             <td class="snns italic green">theorems</td>
144             <td class="snnn right italic green">42</td>
145             <td class="snns italic green">lemmas</td>
146             <td class="snnn right italic green">693</td>
147             <td class="snns italic green">total</td>
148             <td class="ssnn right italic green">735</td>
149           </tr>
150           <tr>
151             <td class="snss capitalize italic grass">concepts</td>
152             <td class="snss italic grass">declared</td>
153             <td class="snsn right italic grass">66</td>
154             <td class="snss italic grass">defined</td>
155             <td class="snsn right italic grass">73</td>
156             <td class="snss italic grass">total</td>
157             <td class="sssn right italic grass">139</td>
158           </tr>
159         </tbody>
160       </table>
161     </div>
162     <ul xmlns:ld="http://lambdadelta.info/">
163       <li>
164         <span class="emph alpha">2016 April 18.</span>
165          Generic rt-transition counter (rtc).
166    </li>
167     </ul>
168     <ul xmlns:ld="http://lambdadelta.info/">
169       <li>
170         <span class="emph alpha">2016 March 4.</span>
171          Platform-independent multiple relocation (rtmap).
172    </li>
173     </ul>
174     <ul xmlns:ld="http://lambdadelta.info/">
175       <li>
176         <span class="emph alpha">2016 January 20.</span>
177          Multiple relocation with streams of naturals.
178    </li>
179     </ul>
180     <ul xmlns:ld="http://lambdadelta.info/">
181       <li>
182         <span class="emph alpha">2015 October 11.</span>
183          Multiple relocation with lists of booleans.
184    </li>
185     </ul>
186     <ul xmlns:ld="http://lambdadelta.info/">
187       <li>
188         <span class="emph alpha">2013 November 27.</span>
189          Natural numbers with infinity (ynat).
190    </li>
191     </ul>
192     <ul xmlns:ld="http://lambdadelta.info/">
193       <li>
194         <span class="emph alpha">2011 August 10.</span>
195          Specification starts.
196    </li>
197     </ul>
198     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
199     </div>
200     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
201    </div>
202     <div xmlns:ld="http://lambdadelta.info/" class="text">
203       <table cellpadding="4" cellspacing="0">
204         <tbody>
205           <tr>
206             <td class="snns top capitalize italic gray">component</td>
207             <td class="snns top italic gray">plane</td>
208             <td class="snns top gray">files</td>
209             <td class="snnn top gray">
210               <br />
211             </td>
212             <td class="snnn top gray">
213               <br />
214             </td>
215             <td class="snnn top gray">
216               <br />
217             </td>
218             <td class="snnn top gray">
219               <br />
220             </td>
221             <td class="snnn top gray">
222               <br />
223             </td>
224             <td class="snnn top gray">
225               <br />
226             </td>
227             <td class="snnn top gray">
228               <br />
229             </td>
230             <td class="snnn top gray">
231               <br />
232             </td>
233             <td class="snnn top gray">
234               <br />
235             </td>
236             <td class="snnn top gray">
237               <br />
238             </td>
239             <td class="snnn top gray">
240               <br />
241             </td>
242             <td class="snnn top gray">
243               <br />
244             </td>
245             <td class="snnn top gray">
246               <br />
247             </td>
248             <td class="snnn top gray">
249               <br />
250             </td>
251             <td class="snnn top gray">
252               <br />
253             </td>
254             <td class="snnn top gray">
255               <br />
256             </td>
257             <td class="snnn top gray">
258               <br />
259             </td>
260             <td class="snnn top gray">
261               <br />
262             </td>
263             <td class="snnn top gray">
264               <br />
265             </td>
266             <td class="ssnn top gray">
267               <br />
268             </td>
269           </tr>
270           <tr>
271             <td class="snns top capitalize italic water">generic rt-transition counter</td>
272             <td class="snns top italic water" />
273             <td class="snns top water">rtc ( 〈?,?,?,?〉 ) ( 𝟘𝟘 ) ( 𝟙𝟘 ) ( 𝟘𝟙 )</td>
274             <td class="snnn top water">rtc_isrc ( 𝐑𝐓⦃?, ?⦄ )</td>
275             <td class="snnn top water">rtc_shift ( ↓? )</td>
276             <td class="snnn top water">rtc_max ( ? ∨ ? )</td>
277             <td class="snnn top water">rtc_plus ( ? + ? )</td>
278             <td class="snnn top water">
279               <br />
280             </td>
281             <td class="snnn top water">
282               <br />
283             </td>
284             <td class="snnn top water">
285               <br />
286             </td>
287             <td class="snnn top water">
288               <br />
289             </td>
290             <td class="snnn top water">
291               <br />
292             </td>
293             <td class="snnn top water">
294               <br />
295             </td>
296             <td class="snnn top water">
297               <br />
298             </td>
299             <td class="snnn top water">
300               <br />
301             </td>
302             <td class="snnn top water">
303               <br />
304             </td>
305             <td class="snnn top water">
306               <br />
307             </td>
308             <td class="snnn top water">
309               <br />
310             </td>
311             <td class="snnn top water">
312               <br />
313             </td>
314             <td class="snnn top water">
315               <br />
316             </td>
317             <td class="snnn top water">
318               <br />
319             </td>
320             <td class="snnn top water">
321               <br />
322             </td>
323             <td class="ssnn top water">
324               <br />
325             </td>
326           </tr>
327           <tr>
328             <td class="snns top capitalize italic green">multiple relocation</td>
329             <td class="snns top italic green" />
330             <td class="snns top green">rtmap</td>
331             <td class="snnn top green">rtmap_eq ( ? ≗ ? )</td>
332             <td class="snnn top green">rtmap_pushs ( ↑*[?]? )</td>
333             <td class="snnn top green">rtmap_nexts ( ⫯*[?]? )</td>
334             <td class="snnn top green">rtmap_tl ( ⫱? )</td>
335             <td class="snnn top green">rtmap_tls ( ⫱*[?]? )</td>
336             <td class="snnn top green">rtmap_isid ( 𝐈⦃?⦄ )</td>
337             <td class="snnn top green">rtmap_id</td>
338             <td class="snnn top green">rtmap_isdiv ( 𝛀⦃?⦄ )</td>
339             <td class="snnn top green">rtmap_fcla ( 𝐂⦃?⦄ ≡ ? )</td>
340             <td class="snnn top green">rtmap_isfin ( 𝐅⦃?⦄ )</td>
341             <td class="snnn top green">rtmap_isuni ( 𝐔⦃?⦄ )</td>
342             <td class="snnn top green">rtmap_uni ( 𝐔❴?❵ )</td>
343             <td class="snnn top green">rtmap_sle ( ? ⊆ ? )</td>
344             <td class="snnn top green">rtmap_sdj ( ? ∥ ? )</td>
345             <td class="snnn top green">rtmap_sand ( ? ⋒ ? ≡ ? )</td>
346             <td class="snnn top green">rtmap_sor ( ? ⋓ ? ≡ ? )</td>
347             <td class="snnn top green">rtmap_at ( @⦃?,?⦄ ≡ ? )</td>
348             <td class="snnn top green">rtmap_istot ( 𝐓⦃?⦄ )</td>
349             <td class="snnn top green">rtmap_after ( ? ⊚ ? ≡ ? )</td>
350             <td class="ssnn top green">rtmap_coafter ( ? ~⊚ ? ≡ ? )</td>
351           </tr>
352           <tr>
353             <td class="nnns top capitalize italic green">
354               <br />
355             </td>
356             <td class="nnns top italic green">
357               <br />
358             </td>
359             <td class="snns top green">nstream ( ↑? ) ( ⫯? )</td>
360             <td class="snnn top green">nstream_eq</td>
361             <td class="snnn top green" />
362             <td class="snnn top green" />
363             <td class="snnn top green" />
364             <td class="snnn top green" />
365             <td class="snnn top green">nstream_isid</td>
366             <td class="snnn top green">nstream_id ( 𝐈𝐝 )</td>
367             <td class="snnn top green" />
368             <td class="snnn top green" />
369             <td class="snnn top green" />
370             <td class="snnn top green" />
371             <td class="snnn top green" />
372             <td class="snnn top green" />
373             <td class="snnn top green" />
374             <td class="snnn top green" />
375             <td class="snnn top green">nstream_sor</td>
376             <td class="snnn top green" />
377             <td class="snnn top green">nstream_istot ( ?@❴?❵ )</td>
378             <td class="snnn top green">nstream_after ( ? ∘ ? )</td>
379             <td class="ssnn top green">nstream_coafter ( ? ~∘ ? )</td>
380           </tr>
381           <tr>
382             <td class="nnns top capitalize italic green">
383               <br />
384             </td>
385             <td class="nnns top italic green">
386               <br />
387             </td>
388             <td class="snns top green">mr2</td>
389             <td class="snnn top green">mr2_at ( @⦃?,?⦄ ≡ ? )</td>
390             <td class="snnn top green">mr2_plus ( ? + ? )</td>
391             <td class="snnn top green">mr2_minus ( ? ▭ ? ≡ ? )</td>
392             <td class="snnn top green">
393               <br />
394             </td>
395             <td class="snnn top green">
396               <br />
397             </td>
398             <td class="snnn top green">
399               <br />
400             </td>
401             <td class="snnn top green">
402               <br />
403             </td>
404             <td class="snnn top green">
405               <br />
406             </td>
407             <td class="snnn top green">
408               <br />
409             </td>
410             <td class="snnn top green">
411               <br />
412             </td>
413             <td class="snnn top green">
414               <br />
415             </td>
416             <td class="snnn top green">
417               <br />
418             </td>
419             <td class="snnn top green">
420               <br />
421             </td>
422             <td class="snnn top green">
423               <br />
424             </td>
425             <td class="snnn top green">
426               <br />
427             </td>
428             <td class="snnn top green">
429               <br />
430             </td>
431             <td class="snnn top green">
432               <br />
433             </td>
434             <td class="snnn top green">
435               <br />
436             </td>
437             <td class="snnn top green">
438               <br />
439             </td>
440             <td class="ssnn top green">
441               <br />
442             </td>
443           </tr>
444           <tr>
445             <td class="snns top capitalize italic grass">natural numbers with infinity</td>
446             <td class="snns top italic grass" />
447             <td class="snns top grass">ynat ( ∞ )</td>
448             <td class="snnn top grass">ynat_pred ( ⫰? )</td>
449             <td class="snnn top grass">ynat_succ ( ⫯? )</td>
450             <td class="snnn top grass">ynat_le ( ? ≤ ? )</td>
451             <td class="snnn top grass">ynat_lt ( ? &lt; ? )</td>
452             <td class="snnn top grass">ynat_plus ( ? + ? )</td>
453             <td class="snnn top grass">
454               <br />
455             </td>
456             <td class="snnn top grass">
457               <br />
458             </td>
459             <td class="snnn top grass">
460               <br />
461             </td>
462             <td class="snnn top grass">
463               <br />
464             </td>
465             <td class="snnn top grass">
466               <br />
467             </td>
468             <td class="snnn top grass">
469               <br />
470             </td>
471             <td class="snnn top grass">
472               <br />
473             </td>
474             <td class="snnn top grass">
475               <br />
476             </td>
477             <td class="snnn top grass">
478               <br />
479             </td>
480             <td class="snnn top grass">
481               <br />
482             </td>
483             <td class="snnn top grass">
484               <br />
485             </td>
486             <td class="snnn top grass">
487               <br />
488             </td>
489             <td class="snnn top grass">
490               <br />
491             </td>
492             <td class="snnn top grass">
493               <br />
494             </td>
495             <td class="ssnn top grass">
496               <br />
497             </td>
498           </tr>
499           <tr>
500             <td class="snns top capitalize italic yellow">extensions to the library</td>
501             <td class="snns top italic yellow" />
502             <td class="snns top yellow">stream ( ? @ ? )</td>
503             <td class="snnn top yellow">stream_eq ( ? ≐ ? )</td>
504             <td class="snnn top yellow">stream_hdtl ( ↓? )</td>
505             <td class="snnn top yellow">stream_tls ( ↓*[?]? )</td>
506             <td class="snnn top yellow">
507               <br />
508             </td>
509             <td class="snnn top yellow">
510               <br />
511             </td>
512             <td class="snnn top yellow">
513               <br />
514             </td>
515             <td class="snnn top yellow">
516               <br />
517             </td>
518             <td class="snnn top yellow">
519               <br />
520             </td>
521             <td class="snnn top yellow">
522               <br />
523             </td>
524             <td class="snnn top yellow">
525               <br />
526             </td>
527             <td class="snnn top yellow">
528               <br />
529             </td>
530             <td class="snnn top yellow">
531               <br />
532             </td>
533             <td class="snnn top yellow">
534               <br />
535             </td>
536             <td class="snnn top yellow">
537               <br />
538             </td>
539             <td class="snnn top yellow">
540               <br />
541             </td>
542             <td class="snnn top yellow">
543               <br />
544             </td>
545             <td class="snnn top yellow">
546               <br />
547             </td>
548             <td class="snnn top yellow">
549               <br />
550             </td>
551             <td class="snnn top yellow">
552               <br />
553             </td>
554             <td class="ssnn top yellow">
555               <br />
556             </td>
557           </tr>
558           <tr>
559             <td class="nnns top capitalize italic yellow">
560               <br />
561             </td>
562             <td class="nnns top italic yellow">
563               <br />
564             </td>
565             <td class="snns top yellow">list ( ◊ ) ( ? @ ? ) ( |?| )</td>
566             <td class="snnn top yellow">list2 ( ◊ ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
567             <td class="snnn top yellow">
568               <br />
569             </td>
570             <td class="snnn top yellow">
571               <br />
572             </td>
573             <td class="snnn top yellow">
574               <br />
575             </td>
576             <td class="snnn top yellow">
577               <br />
578             </td>
579             <td class="snnn top yellow">
580               <br />
581             </td>
582             <td class="snnn top yellow">
583               <br />
584             </td>
585             <td class="snnn top yellow">
586               <br />
587             </td>
588             <td class="snnn top yellow">
589               <br />
590             </td>
591             <td class="snnn top yellow">
592               <br />
593             </td>
594             <td class="snnn top yellow">
595               <br />
596             </td>
597             <td class="snnn top yellow">
598               <br />
599             </td>
600             <td class="snnn top yellow">
601               <br />
602             </td>
603             <td class="snnn top yellow">
604               <br />
605             </td>
606             <td class="snnn top yellow">
607               <br />
608             </td>
609             <td class="snnn top yellow">
610               <br />
611             </td>
612             <td class="snnn top yellow">
613               <br />
614             </td>
615             <td class="snnn top yellow">
616               <br />
617             </td>
618             <td class="snnn top yellow">
619               <br />
620             </td>
621             <td class="ssnn top yellow">
622               <br />
623             </td>
624           </tr>
625           <tr>
626             <td class="nnns top capitalize italic yellow">
627               <br />
628             </td>
629             <td class="nnns top italic yellow">
630               <br />
631             </td>
632             <td class="snns top yellow">bool ( Ⓕ ) ( Ⓣ )</td>
633             <td class="snnn top yellow">arith ( ?^? ) ( ⫯? ) ( ⫰? ) ( ? ∨ ? ) ( ? ∧ ? )</td>
634             <td class="snnn top yellow">
635               <br />
636             </td>
637             <td class="snnn top yellow">
638               <br />
639             </td>
640             <td class="snnn top yellow">
641               <br />
642             </td>
643             <td class="snnn top yellow">
644               <br />
645             </td>
646             <td class="snnn top yellow">
647               <br />
648             </td>
649             <td class="snnn top yellow">
650               <br />
651             </td>
652             <td class="snnn top yellow">
653               <br />
654             </td>
655             <td class="snnn top yellow">
656               <br />
657             </td>
658             <td class="snnn top yellow">
659               <br />
660             </td>
661             <td class="snnn top yellow">
662               <br />
663             </td>
664             <td class="snnn top yellow">
665               <br />
666             </td>
667             <td class="snnn top yellow">
668               <br />
669             </td>
670             <td class="snnn top yellow">
671               <br />
672             </td>
673             <td class="snnn top yellow">
674               <br />
675             </td>
676             <td class="snnn top yellow">
677               <br />
678             </td>
679             <td class="snnn top yellow">
680               <br />
681             </td>
682             <td class="snnn top yellow">
683               <br />
684             </td>
685             <td class="snnn top yellow">
686               <br />
687             </td>
688             <td class="ssnn top yellow">
689               <br />
690             </td>
691           </tr>
692           <tr>
693             <td class="nnns top capitalize italic yellow">
694               <br />
695             </td>
696             <td class="nnns top italic yellow">
697               <br />
698             </td>
699             <td class="snns top yellow">relations ( ? ⊆ ? )</td>
700             <td class="snnn top yellow">star</td>
701             <td class="snnn top yellow">lstar</td>
702             <td class="snnn top yellow">
703               <br />
704             </td>
705             <td class="snnn top yellow">
706               <br />
707             </td>
708             <td class="snnn top yellow">
709               <br />
710             </td>
711             <td class="snnn top yellow">
712               <br />
713             </td>
714             <td class="snnn top yellow">
715               <br />
716             </td>
717             <td class="snnn top yellow">
718               <br />
719             </td>
720             <td class="snnn top yellow">
721               <br />
722             </td>
723             <td class="snnn top yellow">
724               <br />
725             </td>
726             <td class="snnn top yellow">
727               <br />
728             </td>
729             <td class="snnn top yellow">
730               <br />
731             </td>
732             <td class="snnn top yellow">
733               <br />
734             </td>
735             <td class="snnn top yellow">
736               <br />
737             </td>
738             <td class="snnn top yellow">
739               <br />
740             </td>
741             <td class="snnn top yellow">
742               <br />
743             </td>
744             <td class="snnn top yellow">
745               <br />
746             </td>
747             <td class="snnn top yellow">
748               <br />
749             </td>
750             <td class="snnn top yellow">
751               <br />
752             </td>
753             <td class="ssnn top yellow">
754               <br />
755             </td>
756           </tr>
757           <tr>
758             <td class="snns top capitalize italic orange">generated logical decomposables</td>
759             <td class="snns top italic orange" />
760             <td class="snns top orange">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
761             <td class="snnn top orange">xoa_props ( ⊥ ) ( ⊤ )</td>
762             <td class="snnn top orange">
763               <br />
764             </td>
765             <td class="snnn top orange">
766               <br />
767             </td>
768             <td class="snnn top orange">
769               <br />
770             </td>
771             <td class="snnn top orange">
772               <br />
773             </td>
774             <td class="snnn top orange">
775               <br />
776             </td>
777             <td class="snnn top orange">
778               <br />
779             </td>
780             <td class="snnn top orange">
781               <br />
782             </td>
783             <td class="snnn top orange">
784               <br />
785             </td>
786             <td class="snnn top orange">
787               <br />
788             </td>
789             <td class="snnn top orange">
790               <br />
791             </td>
792             <td class="snnn top orange">
793               <br />
794             </td>
795             <td class="snnn top orange">
796               <br />
797             </td>
798             <td class="snnn top orange">
799               <br />
800             </td>
801             <td class="snnn top orange">
802               <br />
803             </td>
804             <td class="snnn top orange">
805               <br />
806             </td>
807             <td class="snnn top orange">
808               <br />
809             </td>
810             <td class="snnn top orange">
811               <br />
812             </td>
813             <td class="snnn top orange">
814               <br />
815             </td>
816             <td class="ssnn top orange">
817               <br />
818             </td>
819           </tr>
820           <tr>
821             <td class="snss top capitalize italic red" />
822             <td class="snss top italic red" />
823             <td class="snss top red">
824               <br />
825             </td>
826             <td class="snsn top red">
827               <br />
828             </td>
829             <td class="snsn top red">
830               <br />
831             </td>
832             <td class="snsn top red">
833               <br />
834             </td>
835             <td class="snsn top red">
836               <br />
837             </td>
838             <td class="snsn top red">
839               <br />
840             </td>
841             <td class="snsn top red">
842               <br />
843             </td>
844             <td class="snsn top red">
845               <br />
846             </td>
847             <td class="snsn top red">
848               <br />
849             </td>
850             <td class="snsn top red">
851               <br />
852             </td>
853             <td class="snsn top red">
854               <br />
855             </td>
856             <td class="snsn top red">
857               <br />
858             </td>
859             <td class="snsn top red">
860               <br />
861             </td>
862             <td class="snsn top red">
863               <br />
864             </td>
865             <td class="snsn top red">
866               <br />
867             </td>
868             <td class="snsn top red">
869               <br />
870             </td>
871             <td class="snsn top red">
872               <br />
873             </td>
874             <td class="snsn top red">
875               <br />
876             </td>
877             <td class="snsn top red">
878               <br />
879             </td>
880             <td class="snsn top red">
881               <br />
882             </td>
883             <td class="sssn top red">
884               <br />
885             </td>
886           </tr>
887         </tbody>
888       </table>
889     </div>
890     <div class="spacer">
891       <img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
892     </div>
893     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
894       <br />
895     </div>
896     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
897       <a href="http://validator.w3.org/check?uri=referer">
898         <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
899       </a>
900       <a href="http://jigsaw.w3.org/css-validator/check/referer">
901         <img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue" />
902       </a>
903       <a href="http://www.w3.org/XML/">
904         <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
905       </a>
906       <a href="http://www.w3.org/Graphics/PNG/">
907         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
908       </a>
909       <a href="http://www.anybrowser.org/campaign/">
910         <img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png" />
911       </a>
912     </div>
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914       <br />
915     </div>
916     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 24 Nov 2017 21:00:01 +0100</div>
917   </body>
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