AXM0004canonicalv1Omega Fixed Point (K2)
rho(omega) = omega; omega absorbs all operations.
Payload
Omega Fixed Point (K2)
rho(omega) = omega; omega absorbs all operations.
Omega Fixed Point (K2)
Summary
rho(omega) = omega; omega absorbs all operations.
Statement
\label{ax:omega-fixed}
The beacon $\omega$ is a fixed point of~$\rho$:
\[
\boxed{\rho(\omega) = \omega.}
\]
Proof / Justification
This item is an axiom. No manuscript proof is required.
Source Context
- Registry source:
book-01.jsonlline 7 - Manuscript source:
2nd-edition/book-i-categorical-foundations/02_mainmatter/part01/ch02-rho-omega.texlines 77-83
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookI.Kernel.Axioms - Name:
Tau.Kernel.K2_omega_fixed
Dependencies
- Canonical: I.D01, I.D02
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.K2omega-fixed-point-k2ax:omega-fixedRelease 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.