# C1149 — Derive adjacent-cap remainder relations

## Question

When does a clipped ancestor’s remaining count equal the next capacity or next lifespan?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1148",
  "File18 §3.1.3"
]
```

## Opened utc

2026-09-28T05:02:56.980369+00:00

## Results

```json
{
  "adjacent_cap_relations": {
    "path": "model/SP_cap_remainder_relations.json",
    "sha256": "6c303c3e35f6e67041ad8bb85aff9b5d33d0bc089a1ef7c4e918d56cbce80f9d",
    "bytes": 598
  }
}
```

## Finding

A clipped row’s algebraic remainder equals the next capacity. Adjacent clipped rows therefore share a remainder/life equality; across uncapped Enoch the equality is with capacity785, leaving the actual365 distinct.

## Reassessment

Use this source-local distinction to formulate a compact connection from the SP mechanism to the wider row grammar.

## Checks

```json
{
  "all_capacity_equalities": true,
  "Methuselah_Lamech": true,
  "Enoch_capacity_not_life": true
}
```

## Closed utc

2026-09-28T05:02:56.980779+00:00

## Record provenance

Exact record hash: `14e8b41dd604a1f53ec2eb334e71df92666b483ddcc7f1422a1f687083c580f9`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`