§ 01 · Axioms
Q.E.D. is a feeling.
Classroom axioms
Assumed true · never violated
§ 02 · Theorems held
Proven results
Eighteen years from number lines to calculus — every claim comes with a proof.
§ 03 · Proof strategy
Struggle is the syllabus
§ 04 · By induction
Eighteen years, n → n + 1
§ 05 · Lemmas
Education
§ 06 · Definitions
Certifications
§ 07 · Corollaries
Results that follow
§ 08 · Marginalia
Notes in the margin
§ 09 · Peer review
Independently verified
§ 10 · For schools