https://jaalonso.github.io/calculemus/esContents © 2026 <a href="mailto:">José A. Alonso</a> <a rel="license" href="https://creativecommons.org/licenses/by-nc-sa/4.0/"> <img alt="Creative Commons License BY-NC-SA" style="border-width:0; margin-bottom:12px;" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png"></a>Wed, 14 Oct 2026 18:49:44 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://jaalonso.github.io/calculemus/es/posts/2023/10/02-ejercicio_en_espacios_metricoses/José A. Alonso<div><p>Demostrar con Lean4 que en los espacios métricos, \(d(x,y) ≥ 0\).</p> <p>Para ello, completar la siguiente teoría de Lean4:</p> <div class="code"><pre class="code literal-block"><span class="kn">import</span><span class="w"> </span><span class="n">Mathlib.Topology.MetricSpace.Basic</span> <span class="kd">variable</span><span class="w"> </span><span class="o">{</span><span class="n">X</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="kt">Type</span><span class="w"> </span><span class="n">_</span><span class="o">}</span><span class="w"> </span><span class="o">[</span><span class="n">MetricSpace</span><span class="w"> </span><span class="n">X</span><span class="o">]</span> <span class="kd">variable</span><span class="w"> </span><span class="o">(</span><span class="n">x</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">X</span><span class="o">)</span> <span class="kd">example</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="bp">≤</span><span class="w"> </span><span class="n">d</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">:=</span> <span class="kd">by</span><span class="w"> </span><span class="gr">sorry</span> </pre></div> <p><a href="https://jaalonso.github.io/calculemus/es/posts/2023/10/02-ejercicio_en_espacios_metricoses/">Leer más…</a> (quedan 2 minutos de lectura)</p></div>https://jaalonso.github.io/calculemus/es/posts/2023/10/02-ejercicio_en_espacios_metricoses/Mon, 02 Oct 2023 04:00:00 GMT