THM0051canonicalv1Countable Additivity
The stage-k counting measure is finitely additive: for disjoint subsets S, T of Z/M_k Z, μ_k(S ∪ T) = μ_k(S) + μ_k(T). Verified computationally at stage 3 for even/odd and B/C sector partitions.
Payload
Countable Additivity
The stage-k counting measure is finitely additive: for disjoint subsets S, T of Z/M_k Z, μ_k(S ∪ T) = μ_k(S) + μ_k(T). Verified computationally at stage 3 for even/odd and B/C sector partitions.
Countable Additivity
Summary
The stage-k counting measure is finitely additive: for disjoint subsets S, T of Z/M_k Z, μ_k(S ∪ T) = μ_k(S) + μ_k(T). Verified computationally at stage 3 for even/odd and B/C sector partitions.
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 221 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookI.Boundary.Measure - Name:
additivity_even_odd_3
Dependencies
- Canonical: I.D95, I.D96
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.T49countable-additivitythm:countable-additivityRelease lines
corpus_v3_workingcorpus_v2Relations
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
Version & History
Status disclaimer
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