Master Proof Reference

Intro to Proofs · Axiom Academy

FORMULA SHEET Master Proof Reference A complete compilation across the course — proof techniques, logic and set identities, number theory, abstract algebra, and analysis, with a writing-style guide. Fundamental Logical Equivalences Abstract Algebra — Structure Axioms Common Pitfalls and How to Avoid Them Mathematical Writing Style Guide All variables defined before use Logic is valid (no circular reasoning) Correct proof method for the statement type All cases covered (if using cases) Base case verified (if using induction) Inductive hypothesis used (if applicable) Proof is complete and self-contained

This is the written version of the interactive lesson above. See the full Intro to Proofs course.