Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001108DEF0106canonicalv1

τ-Integral

The τ-integral of f at stage k: ∫_k f = (Σ f(x)) / M_k. Expectation under the counting measure μ_k on Z/M_k Z.

Payload

τ-Integral

The τ-integral of f at stage k: ∫_k f = (Σ f(x)) / M_k. Expectation under the counting measure μ_k on Z/M_k Z.

τ-Integral

Summary

The τ-integral of f at stage k: ∫_k f = (Σ f(x)) / M_k. Expectation under the counting measure μ_k on Z/M_k Z.

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 227
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookI.Boundary.Integration
  • Name: tau_integral

Dependencies

  • Canonical: I.D95, I.D96

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001108
  • Primary alias DEF0106
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

I.D99integraldef:tau-integral

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (2)

Appears in (1)

Downstream uses (computed) (4)

Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.

Sources

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

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

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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