Corpus theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Theorem cid001218THM0053canonicalv1

Linearity of Integration

The τ-integral is linear: ∫_k (af + bg) = a ∫_k f + b ∫_k g. Verified computationally for arbitrary coefficients at stage 2.

Payload

Linearity of Integration

The τ-integral is linear: ∫_k (af + bg) = a ∫_k f + b ∫_k g. Verified computationally for arbitrary coefficients at stage 2.

Linearity of Integration

Summary

The τ-integral is linear: ∫_k (af + bg) = a ∫_k f + b ∫_k g. Verified computationally for arbitrary coefficients at stage 2.

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

No immediate manuscript proof block was extracted in this pilot run.

Source Context

  • Registry source: book-01.jsonl line 228
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookI.Boundary.Integration
  • Name: linearity_2f_3g_stage2

Dependencies

  • Canonical: I.D99

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001218
  • Primary alias THM0053
  • Type Theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

I.T51linearity-of-integrationthm:integral-linearity

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.

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