Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001105DEF0103canonicalv1

Tower σ-Algebra

Tower-measurable sets: compatible families of predicates S_k on Z/M_k Z such that preimage under reduction preserves membership. At finite stage, every subset is measurable (full power set σ-algebra).

Payload

Tower σ-Algebra

Tower-measurable sets: compatible families of predicates S_k on Z/M_k Z such that preimage under reduction preserves membership. At finite stage, every subset is measurable (full power set σ-algebra).

Tower σ-Algebra

Summary

Tower-measurable sets: compatible families of predicates S_k on Z/M_k Z such that preimage under reduction preserves membership. At finite stage, every subset is measurable (full power set σ-algebra).

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

  • Registry source: book-01.jsonl line 220
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookI.Boundary.Measure
  • Name: TowerMeasurableSet

Dependencies

  • Canonical: I.D95

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001105
  • Primary alias DEF0103
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

I.D96tower-algebradef:tower-sigma-algebra

Release lines

corpus_v3_workingcorpus_v2

Relations

Appears in (1)

Sources

  • Monograph cid000023Book I, Part 18, Chapter 84 (Wave M3)

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.

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