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22 <div class="head1">cic:/matita/lambdadelta/ground_2/ (background for λδ version 2)</div>
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29 <div xmlns:ld="http://lambdadelta.info/" class="text">
30 <table cellpadding="4" cellspacing="0">
33 <td class="snns capitalize italic sky">
34 <a href="http://lambdadelta.info/index.html">home</a>
36 <td class="snns capitalize italic magenta">
37 <a href="http://lambdadelta.info/news.html">news</a>
39 <td class="snns capitalize italic white">
40 <a href="http://lambdadelta.info/specification.html">specification</a>
42 <td class="snnn capitalize italic white">
45 <td class="snnn capitalize italic white">
48 <td class="snns capitalize italic orange">
49 <a href="http://lambdadelta.info/documentation.html">documentation</a>
51 <td class="snns capitalize italic green">
52 <a href="http://lambdadelta.info/implementation.html">implementation</a>
54 <td class="ssnn capitalize italic green">
59 <td class="snns capitalize sky">
60 <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
62 <td class="snns capitalize magenta">
63 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
65 <td class="snns capitalize white">
66 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
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">
72 <td class="snns capitalize orange">
73 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
75 <td class="snns capitalize green">
76 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
78 <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
81 <td class="snss capitalize sky">
82 <a href="http://lambdadelta.info/index.html#citations">citations</a>
84 <td class="snss capitalize magenta">
85 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
87 <td class="snss capitalize white">
88 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
90 <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>
91 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
92 <td class="snss capitalize orange">
93 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
95 <td class="snss capitalize green">
96 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
98 <td class="sssn capitalize green">
105 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
107 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
110 <div xmlns:ld="http://lambdadelta.info/" class="text">
111 <table cellpadding="4" cellspacing="0">
114 <td class="snns capitalize italic gray">category</td>
115 <td class="snns italic gray">objects</td>
116 <td class="snnn right italic gray">
119 <td class="snnn italic gray">
122 <td class="snnn right italic gray">
125 <td class="snnn italic gray">
128 <td class="ssnn right italic gray">
133 <td class="snns capitalize italic cyan">sizes</td>
134 <td class="snns italic cyan">files</td>
135 <td class="snnn right italic cyan">59</td>
136 <td class="snns italic cyan">characters</td>
137 <td class="snnn right italic cyan">86572</td>
138 <td class="snns italic cyan">nodes</td>
139 <td class="ssnn right italic cyan">195099</td>
142 <td class="snns capitalize italic green">propositions</td>
143 <td class="snns italic green">theorems</td>
144 <td class="snnn right italic green">17</td>
145 <td class="snns italic green">lemmas</td>
146 <td class="snnn right italic green">395</td>
147 <td class="snns italic green">total</td>
148 <td class="ssnn right italic green">412</td>
151 <td class="snss capitalize italic yellow">concepts</td>
152 <td class="snss italic yellow">declared</td>
153 <td class="snsn right italic yellow">48</td>
154 <td class="snss italic yellow">defined</td>
155 <td class="snsn right italic yellow">43</td>
156 <td class="snss italic yellow">total</td>
157 <td class="sssn right italic yellow">91</td>
162 <ul xmlns:ld="http://lambdadelta.info/">
164 <span class="emph alpha">2016 January 20.</span>
165 Multiple relocation with streams of naturals.
168 <ul xmlns:ld="http://lambdadelta.info/">
170 <span class="emph alpha">2015 October 11.</span>
171 Multiple relocation with lists of booleans.
174 <ul xmlns:ld="http://lambdadelta.info/">
176 <span class="emph alpha">2013 November 27.</span>
177 Natural numbers with infinity.
180 <ul xmlns:ld="http://lambdadelta.info/">
182 <span class="emph alpha">2011 August 10.</span>
183 Specification starts.
186 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
188 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
190 <div xmlns:ld="http://lambdadelta.info/" class="text">
191 <table cellpadding="4" cellspacing="0">
194 <td class="snns top capitalize italic gray">component</td>
195 <td class="snns top italic gray">plane</td>
196 <td class="snns top gray">files</td>
197 <td class="snnn top gray">
200 <td class="snnn top gray">
203 <td class="snnn top gray">
206 <td class="snnn top gray">
209 <td class="snnn top gray">
212 <td class="snnn top gray">
215 <td class="ssnn top gray">
220 <td class="snns top capitalize italic green">natural numbers with infinity</td>
221 <td class="snns top italic green" />
222 <td class="snns top green">ynat ( ∞ )</td>
223 <td class="snnn top green">ynat_pred ( ⫰? )</td>
224 <td class="snnn top green">ynat_succ ( ⫯? )</td>
225 <td class="snnn top green">ynat_le ( ? ≤ ? )</td>
226 <td class="snnn top green">ynat_lt ( ? < ? )</td>
227 <td class="snnn top green">ynat_plus ( ? + ? )</td>
228 <td class="snnn top green">
231 <td class="ssnn top green">
236 <td class="snns top capitalize italic grass">multiple relocation</td>
237 <td class="snns top italic grass" />
238 <td class="snns top grass">nstream</td>
239 <td class="snnn top grass">nstream_lift ( ↑? ) ( ⫯? )</td>
240 <td class="snnn top grass">nstream_at ( ?@❴?❵ ) ( @⦃?,?⦄ ≡ ? )</td>
241 <td class="snnn top grass">nstream_after ( ? ∘ ? ) ( ? ⊚ ? ≡ ? )</td>
242 <td class="snnn top grass">nstream_id ( 𝐈𝐝 ) ( 𝐈⦃?⦄ )</td>
243 <td class="snnn top grass">
246 <td class="snnn top grass">
249 <td class="ssnn top grass">
254 <td class="nnns top capitalize italic grass">
257 <td class="nnns top italic grass">
260 <td class="snns top grass">trace ( ∥?∥ )</td>
261 <td class="snnn top grass">trace_at ( @⦃?,?⦄ ≡ ? )</td>
262 <td class="snnn top grass">trace_after ( ? ⊚ ? ≡ ? )</td>
263 <td class="snnn top grass">trace_isid ( 𝐈⦃?⦄ )</td>
264 <td class="snnn top grass">trace_isun ( 𝐔⦃?⦄ )</td>
265 <td class="snnn top grass">trace_sle ( ? ⊆ ? )</td>
266 <td class="snnn top grass">trace_sor ( ? ⋓ ? ≡ ? )</td>
267 <td class="ssnn top grass">trace_snot ( ∁ ? )</td>
270 <td class="nnns top capitalize italic grass">
273 <td class="nnns top italic grass">
276 <td class="snns top grass">mr2</td>
277 <td class="snnn top grass">mr2_at ( @⦃?,?⦄ ≡ ? )</td>
278 <td class="snnn top grass">mr2_plus ( ? + ? )</td>
279 <td class="snnn top grass">mr2_minus ( ? ▭ ? ≡ ? )</td>
280 <td class="snnn top grass">
283 <td class="snnn top grass">
286 <td class="snnn top grass">
289 <td class="ssnn top grass">
294 <td class="snns top capitalize italic yellow">extensions to the library</td>
295 <td class="snns top italic yellow" />
296 <td class="snns top yellow">stream ( ? @ ? ) ( ? ≐ ? )</td>
297 <td class="snnn top yellow">stream_hdtl</td>
298 <td class="snnn top yellow">
301 <td class="snnn top yellow">
304 <td class="snnn top yellow">
307 <td class="snnn top yellow">
310 <td class="snnn top yellow">
313 <td class="ssnn top yellow">
318 <td class="nnns top capitalize italic yellow">
321 <td class="nnns top italic yellow">
324 <td class="snns top yellow">list ( ◊ ) ( ? @ ? ) ( |?| )</td>
325 <td class="snnn top yellow">list2 ( ◊ ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
326 <td class="snnn top yellow">
329 <td class="snnn top yellow">
332 <td class="snnn top yellow">
335 <td class="snnn top yellow">
338 <td class="snnn top yellow">
341 <td class="ssnn top yellow">
346 <td class="nnns top capitalize italic yellow">
349 <td class="nnns top italic yellow">
352 <td class="snns top yellow">bool ( Ⓕ ) ( Ⓣ )</td>
353 <td class="snnn top yellow">arith ( ?^? ) ( ⫯? ) ( ⫰? )</td>
354 <td class="snnn top yellow">
357 <td class="snnn top yellow">
360 <td class="snnn top yellow">
363 <td class="snnn top yellow">
366 <td class="snnn top yellow">
369 <td class="ssnn top yellow">
374 <td class="nnns top capitalize italic yellow">
377 <td class="nnns top italic yellow">
380 <td class="snns top yellow">star</td>
381 <td class="snnn top yellow">lstar</td>
382 <td class="snnn top yellow">
385 <td class="snnn top yellow">
388 <td class="snnn top yellow">
391 <td class="snnn top yellow">
394 <td class="snnn top yellow">
397 <td class="ssnn top yellow">
402 <td class="snns top capitalize italic orange">generated logical decomposables</td>
403 <td class="snns top italic orange" />
404 <td class="snns top orange">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
405 <td class="snnn top orange">xoa_props ( ⊥ ) ( ⊤ )</td>
406 <td class="snnn top orange">
409 <td class="snnn top orange">
412 <td class="snnn top orange">
415 <td class="snnn top orange">
418 <td class="snnn top orange">
421 <td class="ssnn top orange">
426 <td class="snss top capitalize italic red" />
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440 <td class="snsn top red">
443 <td class="snsn top red">
446 <td class="snsn top red">
449 <td class="sssn top red">
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482 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 07 Feb 2016 18:51:17 +0100</div>