FC11 — Peters & Sterk, Symmetric and Quadratic Forms

This book contains 376 definitions, 88 theorems, 110 propositions, 126 lemmas, 69 corollaries, 189 examples, 63 constructions, 74 remarks, 10 conventions, 4 criteria and 5 other statements.

209 of its 1,114 statements have been checked against Lean; 55 of those are formalized somewhere.

Chapter Definitions Theorems, propositions Lemmas, corollaries Everything else Formalized Not formalized
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 70 15 16 54 49 106
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 5 9 7 13 1 33
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 4 7 4 5 5 15
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 22 10 14 26 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 23 10 16 18 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 28 5 6 23 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 6 3 5 11 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 3 6 3 7 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 9 5 10 4 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 2 3 10 6 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 5 6 2 11 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 8 13 9 13 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 11 5 4 14 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 10 12 11 17 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) — 13 4 13 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 23 2 5 12 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 14 9 11 16 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 21 5 4 19 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 22 14 7 8 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 26 18 17 21 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 14 5 11 8 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 18 12 11 12 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 27 5 3 12 not checked
FC11 — Peters–Sterk, Symmetric and Quadratic Forms (June 2024) 5 6 5 2 not checked

What the book contains

Kind of statement Count
Definitions 376
Theorems 88
Propositions 110
Lemmas 126
Corollaries 69
Examples 189
Constructions 63
Remarks 74
Conventions 10
Criteria 4
Other statements 5
Total 1,114

Where its statements stand in Lean

Status Statements Share What it means
not formalized 154 74% A documented search found no Lean statement of it anywhere.
in lean-categories 40 19% This repository states and proves it.
in Mathlib 10 5% Mathlib states and proves it.
in another Lean project 5 2% Some other Lean development has it; using it means porting that code.
checked in total 209

How this book was read

Frozen source: /home/dzack/Zotero/storage/ANG3AN65/[Peters 2024] Symmetric and Quadratic Forms, with Applications to Coding Theory, Algebraic Geometry and Topology.md.

This catalogue excludes exercises, proofs, bibliography/history prose, and purely expository recaps. Plural source example headings are represented by their first actual example and split into later reusable member examples. Source locators refer to the frozen Markdown extraction; a small number of OCR-lost display clauses were restored against the official June-2024 PDF without changing those anchors.