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>Sun, 18 Oct 2026 17:47:02 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://jaalonso.github.io/calculemus/posts/2026/08/24-seis_divide_producto/José A. Alonso<div><p>Demostrar que para todo \(n \in ℕ\), \(n(n+1)(2n+1)\) es divisible por \(6\).</p> <p>Para ello, completar la siguiente teoría de Lean 4:</p> <div class="code"><pre class="code literal-block"><span class="kn">import</span><span class="w"> </span><span class="n">Mathlib.Tactic</span> <span class="kd">variable</span><span class="w"> </span><span class="o">(</span><span class="n">n</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">ℕ</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">6</span><span class="w"> </span><span class="bp">∣</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="bp">*</span><span class="w"> </span><span class="o">(</span><span class="n">n</span><span class="w"> </span><span class="bp">+</span><span class="w"> </span><span class="mi">1</span><span class="o">)</span><span class="w"> </span><span class="bp">*</span><span class="w"> </span><span class="o">(</span><span class="mi">2</span><span class="w"> </span><span class="bp">*</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="bp">+</span><span class="w"> </span><span class="mi">1</span><span class="o">)</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> <hr> <p><a href="https://jaalonso.github.io/calculemus/posts/2026/08/24-seis_divide_producto/">Leer más…</a> (quedan 6 minutos de lectura)</p></div>CongruenciaDivisibilidadInducciónLean4RetoLean4Teoría de númeroshttps://jaalonso.github.io/calculemus/posts/2026/08/24-seis_divide_producto/Mon, 24 Aug 2026 04:00:00 GMT