AXM0003canonicalv1Strict Order (K1)
alpha < pi < gamma < eta < omega is a strict total order on the 5 generators.
Payload
Strict Order (K1)
alpha < pi < gamma < eta < omega is a strict total order on the 5 generators.
Strict Order (K1)
Summary
alpha < pi < gamma < eta < omega is a strict total order on the 5 generators.
Statement
\label{ax:strict-order}
The five generators satisfy the strict total order
\[
\boxed{\alpha \;<\; \pi \;<\; \gamma \;<\; \eta \;<\; \omega.}
\]
Proof / Justification
This item is an axiom. No manuscript proof is required.
Source Context
- Registry source:
book-01.jsonlline 6 - Manuscript source:
2nd-edition/book-i-categorical-foundations/02_mainmatter/part01/ch01-five-generators.texlines 182-188
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookI.Kernel.Axioms - Name:
Tau.Kernel.K1_strict_order
Dependencies
- Canonical: I.D01
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
I.K1strict-order-k1ax:strict-orderRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (1)
Appears in (1)
Downstream uses (computed) (2)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
Sources
Version & History
Status disclaimer
A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.