A registered result in its source context
Original ledger classification: Abstract master theorem with kernel-checked Lean core (PositiveDescentMaster.lean: telescoping + tail, positivity closure, sector commutation); both instances measured at finite level; hypotheses (6)/(7) typed per instance; positivity a separate hypothesis (K4)
Recorded statement: Abstract positive-descent theorem and G_net finite hypothesis checks; the prime packet instance is maintained by Prime Front. Original module ID retained; original complete mixed record is preserved in extraction provenance.
Statement, assumptions and sources
Paper context: tfpt research contracts
The exact identifier, original classification and full claim are available below.
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Read the exact registered claim and its dependencies
TFPT.POSITIVE_DESCENT.MASTER.01
Original ledger classification: Abstract master theorem with kernel-checked Lean core (PositiveDescentMaster.lean: telescoping + tail, positivity closure, sector commutation); both instances measured at finite level; hypotheses (6)/(7) typed per instance; positivity a separate hypothesis (K4)
Original claim text
Abstract positive-descent theorem and G_net finite hypothesis checks; the prime packet instance is maintained by Prime Front. Original module ID retained; original complete mixed record is preserved in extraction provenance.
Original classification detail
MASTER-BOTH-INSTANCES: G_net hypotheses re-verified (Choi PSD, delta rate 0.267/doubling); THE NEW NUMBER -- prime packet state defects summable at 0.701/doubling ~ sqrt-dilution 2^{-1/2}, mh2(p) = -1/15 exact for every odd prime; the selection problem eliminated on both sides; K4: positivity NOT implied by summability; open per instance: G_net normality/split, prime sector floor (-> PRIME.FLOOR.RATIO.01); NO RH claim
Dependencies as recorded
PRIME.POSITIVE_DESCENT.01; GNET.MARTINGALE.LIMIT.01; PRIME.FLOOR.RATIO.01; v791; v802; v793
Open the original ledger source, row 702Location recorded in the ledger
These document locations are recorded directly on the ledger row. They are document level navigation, rather than a newly inferred section citation.
- E8 audit and bootstrap
- Research contracts
Sections that explicitly cite this claim
A literal claim identifier is present in these paper sections. The section and its premises determine what the citation supports.
- Group-theoretic audits (optional)input 5 tfpt 3 e8 audit bootstrap
- Research Contract 2 — [formula in source]tfpt research contracts
- Front matter / supportE8 audit and bootstrap
- Group-theoretic audits (optional)input 5 tfpt 3 e8 audit bootstrap
- Research Contract 2 — [formula in source]tfpt research contracts
Navigation through a shared verification script
These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.
- How to read this documenttfpt 1 architecture e8
- How to read this documenttfpt 1 architecture e8
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- 2026-10-18: Project separation and retained physics historyResearch changelog; TFPT — Introduction and reading guide
Registered verification modules
- v817_positive_descent_master.pyRegistered verification module · core
Read the description recorded in the module registry
Abstract positive-descent theorem and G_net finite hypothesis checks; the prime packet instance is maintained by Prime Front.
A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.