This is a disorganized collection of mathematical proofs that I find interesting. The proofs are usually transcribed from one or more sources (books, Wikipedia, university courses, …) with my additional personal tweaks.

The proofs are written by hand, then scanned and processed by an LLM to convert them to LaTeX.

If you find any mistakes or want to suggest improvements, feel free to send me an email or open a PR!

• The Set of Real Numbers is Uncountable
• The Tower of Hanoi
• Irrationality of the Square Root of 2
• There Are Infinitely Many Prime Numbers
• The Fundamental Theorem of Arithmetic
• Bounds on the Number of Divisors
• Maximum Number of Segments Connecting the Vertices of a Polygon
• Number of Nodes in a Perfect Binary Tree
• Leaves vs. Internal Nodes in a Full Binary Tree
• Divisibility of the Sum of Three Consecutive Integers
• Products of Integers of Equal Parity
• Why Dividing by a Fraction Means Multiplying by Its Reciprocal
• Congruence Criteria for Triangles
• Peano Arithmetic