Bookshelf

A study of the books listed below. Most proofs are conducted in LaTeX. Where feasible, theorems are also formally proven in Lean.

In Progress

• Apostol, Tom M. Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra. 2nd ed. Vol. 1. 2 vols. Wiley, 1991.
• Enderton, Herbert B. A Mathematical Introduction to Logic. 2nd ed. San Diego: Harcourt/Academic Press, 2001.
• Enderton, Herbert B. Elements of Set Theory. New York: Academic Press, 1977.
• Fraleigh, John B. A First Course in Abstract Algebra, n.d.

Complete

• Avigad, Jeremy. ‘Theorem Proving in Lean’, n.d.

Pending

• Axler, Sheldon. Linear Algebra Done Right. Undergraduate Texts in Mathematics. Cham: Springer International Publishing, 2015.
• Cormen, Thomas H., Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms. 3rd ed. Cambridge, Mass: MIT Press, 2009.
• Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
• Gustedt, Jens. Modern C. Shelter Island, NY: Manning Publications Co, 2020.
• Ross, Sheldon. A First Course in Probability Theory. 8th ed. Pearson Prentice Hall, n.d.
• Smullyan, Raymond M. To Mock a Mockingbird: And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic. Oxford: Oxford university press, 2000.

Legend

A color/symbol code is used on generated PDF headers to indicate their status:

• Dark gray statements are reserved for definitions and axioms that have been encoded in LaTeX. A reference to a definition in Lean may also be provided.
• Teal statements are reserved for statements, theorems, lemmas, etc. that have been proven in LaTeX and have a corresponding proof in Lean.
• Olive statements are reserved for statements, theorems, lemmas, etc. that have been proven in LaTeX. A reference to a statement in Lean may also be provided.
• Fuchsia statements are reserved for statements, theorems, lemmas, etc. that have been proven in LaTeX and will have a corresponding proof in Lean.
• Maroon serves as a catch-all for statements that don't fit the above categorizations. Incomplete definitions, statements without proof, etc. belong here.

This was built using Lean 4 at commit 8e5cf6466061e7660353d7c3d9b69f744ac29edd