Research action · Preserved journal reading record

C1042 — Independence changes with held source values

Download reading recordDownload source journalOpen in research workspace

Study sequence: Covenant and cumulative clutch source model (C1032–C1057) · Covenant, clutch & carriers

C1042 — Independence changes with held source values

Question

Are the centered and E-completed radius conditions still independent when175/147 are supplied?

Inputs

{}

Sources

[
  "File60 §2.6",
  "C1041"
]

Opened utc

2026-09-28T04:04:41.562315+00:00

Results

{
  "identity": "25A8−2A7 = 21·Abraham_life−25·Jacob_life",
  "held_rhs": 0,
  "consequence": "with175/147 held, the two radius conditions are equivalent"
}

Finding

The two radius conditions are independent only while the relevant lifespans vary. With source175 and147 held, one condition implies the other. Constraint counts must state their held premises.

Reassessment

Reduce the entire selected Covenant claim list to a precise row basis.

Checks

{
  "coefficient_identity": true,
  "source_rhs_zero": true
}

Closed utc

2026-09-28T04:04:41.563266+00:00

Record provenance

Exact record hash: f8fc7ab12886e6ede3b60312a8d1839116124cd21d82e8850a59feb20969de25

Source journal: Research_Cycles/C0932_C1131/journal.json

Linked sources and evidence

Edition and provenance

C1042.md

SHA-256 9c7895e47d1bb64facc6cee35a778bda5f87f3a35458a7931978b4cb89a0df68

C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1042