PRP0041canonicalv1Measure Compatibility
The projective family of counting measures is compatible: for any tower-measurable set, the measure at stage k+1 (projected down) equals the measure at stage k. μ_{k+1}(π⁻¹(S_k)) = μ_k(S_k).
Payload
Measure Compatibility
The projective family of counting measures is compatible: for any tower-measurable set, the measure at stage k+1 (projected down) equals the measure at stage k. μ_{k+1}(π⁻¹(S_k)) = μ_k(S_k).
Measure Compatibility
Summary
The projective family of counting measures is compatible: for any tower-measurable set, the measure at stage k+1 (projected down) equals the measure at stage k. μ_{k+1}(π⁻¹(S_k)) = μ_k(S_k).
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.jsonlline 222 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookI.Boundary.Measure - Name:
even_set_compatible_3
Dependencies
- Canonical: I.D95, I.D96, I.T49
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.P43measure-compatibilityprop:measure-compatibilityRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (3)
Appears in (1)
Downstream uses (computed) (6)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
FTH0016formal theorem
FTH0016formal theorem
FTH0017formal theorem
FTH0017formal theorem
FTH0018formal theorem
FTH0018formal theoremSources
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.