Corpus proposition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Proposition cid001143PRP0021canonicalv1

Ultra Dist Self

d(t, t) = 0 for every omega-tail t. Identity of indiscernibles for the primorial divergence depth.

Payload

Ultra Dist Self

d(t, t) = 0 for every omega-tail t. Identity of indiscernibles for the primorial divergence depth.

Ultra Dist Self

Summary

d(t, t) = 0 for every omega-tail t. Identity of indiscernibles for the primorial divergence depth.

Statement

%
\label{prop:ultra-dist-self}
For every omega-tail $t$: $d(t, t) = 0$.

Proof / Justification

By definition, $t$ agrees with itself at every stage,
so $t \sim t$ and hence $d(t, t) = 0$.

Source Context

  • Registry source: book-01.jsonl line 105
  • Manuscript source: 2nd-edition/book-i-categorical-foundations/02_mainmatter/part07/ch28-omega-germs.tex lines 293-296

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookI.Denotation.Structural
  • Name: Tau.Denotation.ultra_dist_self

Dependencies

  • Canonical: I.D25

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001143
  • Primary alias PRP0021
  • Type Proposition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

I.P20ultra-dist-selfprop:ultra-dist-self

Release lines

corpus_v3_workingcorpus_v2

Relations

Appears in (1)

cid000023

Sources

  • Monograph cid000023Book I, Part 7, Chapter 28 (Part VII)

Version & History

  • v1 · 2026-05-10 imported from v2 registry

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.

Save or share this page for inspection

Download a portable dossier, copy a reviewer note, or send this page to someone who can inspect it.

Email to expert