bookshelf/DocGen4/Output/Index.lean

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/-
Copyright (c) 2021 Henrik Böving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henrik Böving
-/
import DocGen4.Output.ToHtmlFormat
import DocGen4.Output.Template
namespace DocGen4
namespace Output
open scoped DocGen4.Jsx
def index : BaseHtmlM Html := do templateExtends (baseHtml "Index") <|
pure <|
<main>
<a id="top"></a>
<h1>Bookshelf</h1>
<p>
A study of the books listed below. Most proofs are conducted in LaTeX.
Where feasible, theorems are also formally proven in
<a target="_blank" href="https://leanprover.github.io/">Lean</a>.
</p>
<ul>
<li>Apostol, Tom M. Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra. 2nd ed. Vol. 1. 2 vols. Wiley, 1991.</li>
<li>Avigad, Jeremy. Theorem Proving in Lean, n.d.</li>
<li>Axler, Sheldon. Linear Algebra Done Right. Undergraduate Texts in Mathematics. Cham: Springer International Publishing, 2015.</li>
<li>Cormen, Thomas H., Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms. 3rd ed. Cambridge, Mass: MIT Press, 2009.</li>
<li>Enderton, Herbert B. A Mathematical Introduction to Logic. 2nd ed. San Diego: Harcourt/Academic Press, 2001.</li>
<li>Enderton, Herbert B. Elements of Set Theory. New York: Academic Press, 1977.</li>
<li>Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.</li>
<li>Gustedt, Jens. Modern C. Shelter Island, NY: Manning Publications Co, 2020.</li>
<li>Ross, Sheldon. A First Course in Probability Theory. 8th ed. Pearson Prentice Hall, n.d.</li>
<li>Smullyan, Raymond M. To Mock a Mockingbird: And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic. Oxford: Oxford university press, 2000.</li>
</ul>
<p>
A color/symbol code is used on generated PDF headers to indicate their
status:
<ul>
<li>
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<span style="color:darkgray">Dark gray statements </span> are
reserved for definitions and axioms that have been encoded in LaTeX.
A corresponding reference to a definition/axiom in Lean may also be
provided.
</li>
<li>
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<span style="color:teal">Teal statements </span> are reserved for
statements, theorems, lemmas, etc. that have been proven in both
LaTeX and Lean.
</li>
<li>
<span style="color:olive">Olive statements </span> are reserved for
statements, theorems, lemmas, etc. that have been proven in LaTeX
and will <i>not </i> be proven in Lean.
</li>
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<li>
<span style="color:fuchsia">Fuchsia statements </span> are reserved
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for definitions, axioms, statements, theorems, lemmas, etc. that
have been proven or encoded in LaTeX and <i>will </i> be encoded in
Lean.
</li>
<li>
<span style="color:maroon">Maroon </span> serves as a catch-all for
all statements that don't fit the above categorizations. Incomplete
definitions, statements without proof, etc. belong here.
</li>
</ul>
</p>
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<p>This was built using Lean 4 at commit <a href={s!"https://github.com/leanprover/lean4/tree/{Lean.githash}"}>{Lean.githash}</a></p>
</main>
end Output
end DocGen4