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Update Tue Jan 16 16:18:36 EST 2024
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hrmacbeth committed Jan 16, 2024
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3 changes: 1 addition & 2 deletions Math2001/Homework/hw0.lean
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Expand Up @@ -7,8 +7,7 @@ math2001_init

/-! # Homework 0
Don't forget to compare with the text version,
https://hrmacbeth.github.io/math2001/Homework.html#homework-0
Don't forget to compare with the text version
for clearer statements and any special instructions. -/


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2 changes: 1 addition & 1 deletion html/04_Proofs_with_Structure_II.html
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Expand Up @@ -1341,7 +1341,7 @@ <h3><span class="section-number">4.4.5. </span>Example<a class="headerlink" href
\[\begin{split}c ^ 2 &amp; = a ^ 2 + b ^ 2 \\
&amp;\le 2^2+1^2\\
&amp;&lt;3^2.\end{split}\]</div>
<p>Since 3 is positive, this implies that <span class="math notranslate nohighlight">\(c&lt;3\)</span>. We now have upper bounds <span class="math notranslate nohighlight">\(a \le 2\)</span>,
<p>This implies that <span class="math notranslate nohighlight">\(c&lt;3\)</span>. We now have upper bounds <span class="math notranslate nohighlight">\(a \le 2\)</span>,
<span class="math notranslate nohighlight">\(b \le 1\)</span>, <span class="math notranslate nohighlight">\(c &lt; 3\)</span>, so <span class="math notranslate nohighlight">\(a\)</span> is 1 or 2, <span class="math notranslate nohighlight">\(b\)</span> is 1, and <span class="math notranslate nohighlight">\(c\)</span> is 1 or 2.
We can analyze all these cases and check they don&#8217;t work:</p>
<div class="math notranslate nohighlight">
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