https://www.glc.us.es/~jalonso/LMF2019/index.php?action=history&feed=atom&title=R2
R2 - Historial de revisiones
2026-07-19T02:12:43Z
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https://www.glc.us.es/~jalonso/LMF2019/index.php?title=R2&diff=234&oldid=prev
Mjoseh en 09:02 1 mar 2019
2019-03-01T09:02:56Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revisión del 09:02 1 mar 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l57" >Línea 57:</td>
<td colspan="2" class="diff-lineno">Línea 57:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Ejercicio 8.''' Demostrar mediante deducción natural:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Ejercicio 8.''' Demostrar mediante deducción natural:</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>: (p ∧ q → r) ⊧ <del class="diffchange diffchange-inline">(</del>p → q<del class="diffchange diffchange-inline">) </del>→ r</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>: (p ∧ q → r) ⊧ p → <ins class="diffchange diffchange-inline">(</ins>q → r<ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td></tr>
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Mjoseh
https://www.glc.us.es/~jalonso/LMF2019/index.php?title=R2&diff=161&oldid=prev
Mjoseh en 16:11 21 feb 2019
2019-02-21T16:11:50Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Revisión anterior</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revisión del 16:11 21 feb 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9" >Línea 9:</td>
<td colspan="2" class="diff-lineno">Línea 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">[[Archivo:R2-ej1.png]]</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Ejercicio 2.''' Demostrar mediante deducción natural:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Ejercicio 2.''' Demostrar mediante deducción natural:</div></td></tr>
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Mjoseh
https://www.glc.us.es/~jalonso/LMF2019/index.php?title=R2&diff=159&oldid=prev
Mjoseh en 12:16 21 feb 2019
2019-02-21T12:16:37Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Revisión anterior</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revisión del 12:16 21 feb 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9" >Línea 9:</td>
<td colspan="2" class="diff-lineno">Línea 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Archivo:R2-ej1.png]]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td></tr>
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Mjoseh
https://www.glc.us.es/~jalonso/LMF2019/index.php?title=R2&diff=157&oldid=prev
Mjoseh en 12:15 21 feb 2019
2019-02-21T12:15:23Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Revisión anterior</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revisión del 12:15 21 feb 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9" >Línea 9:</td>
<td colspan="2" class="diff-lineno">Línea 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Solución:'''</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">[[Archivo:R2-ej1.png]]</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>----</div></td></tr>
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Mjoseh
https://www.glc.us.es/~jalonso/LMF2019/index.php?title=R2&diff=155&oldid=prev
Mjoseh en 12:05 21 feb 2019
2019-02-21T12:05:34Z
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<td colspan="1" style="background-color: #fff; color: #222; text-align: center;">← Revisión anterior</td>
<td colspan="1" style="background-color: #fff; color: #222; text-align: center;">Revisión del 12:05 21 feb 2019</td>
</tr><tr><td colspan="2" class="diff-notice" lang="es"><div class="mw-diff-empty">(Sin diferencias)</div>
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Mjoseh
https://www.glc.us.es/~jalonso/LMF2019/index.php?title=R2&diff=154&oldid=prev
Mjoseh en 12:05 21 feb 2019
2019-02-21T12:05:22Z
<p></p>
<p><b>Página nueva</b></p><div><br />
=== Relación 2: Deducción natural en lógica proposicional ===<br />
<br />
<br />
----<br />
'''Ejercicio 1.''' Demostrar mediante deducción natural:<br />
: p ⊧ q → p<br />
----<br />
<br />
'''Solución:'''<br />
<br />
<br />
----<br />
'''Ejercicio 2.''' Demostrar mediante deducción natural:<br />
: (p → q) → r ⊧ p → (q → r)<br />
----<br />
<br />
'''Solución:'''<br />
<br />
----<br />
'''Ejercicio 3.''' Demostrar mediante deducción natural:<br />
: (p → q) ∧ (p → r) ⊧ p → q ∧ r<br />
----<br />
<br />
'''Solución:'''<br />
<br />
----<br />
'''Ejercicio 4.''' Demostrar mediante deducción natural:<br />
: (p → r) ∧ (q → r) ⊧ p ∨ q → r<br />
----<br />
<br />
'''Solución:'''<br />
<br />
----<br />
'''Ejercicio 5.''' Demostrar mediante deducción natural:<br />
: ( p ∨ q ) ∧ ( p ∨ r ) ⊧ p ∨ ( q ∧ r )<br />
----<br />
<br />
'''Solución:'''<br />
<br />
<br />
----<br />
'''Ejercicio 6.''' Demostrar mediante deducción natural:<br />
: (p → r) ∨ (q → s) ⊧ (p ∧ q) → (r ∨ s)<br />
----<br />
<br />
'''Solución:'''<br />
<br />
<br />
----<br />
'''Ejercicio 7.''' Demostrar mediante deducción natural:<br />
: (p → r) ∧ (q → r) ⊧ (p ∨ q) → r<br />
----<br />
<br />
'''Solución:'''<br />
<br />
<br />
----<br />
'''Ejercicio 8.''' Demostrar mediante deducción natural:<br />
: (p ∧ q → r) ⊧ (p → q) → r<br />
----<br />
<br />
'''Solución:'''</div>
Mjoseh