Alignment Workspace

kernel.extension-realized-rate.record

leaf/record ยท drafted

Statement

The declaration Workspace.Deference.Contrib.KernelExtension.DecisionInterface.realized_rate is accepted by the Lean kernel in the repository's Lean library.

Source

projects/deference/CLAIMS.md, entry kernel.extension-realized-rate (class lean-proved, status active, origin round 2026-09-27-corrigibility-kernel-phase2; answers item 104). Documentation: verification: projects/deference/rounds/2026-09-27-corrigibility-kernel-phase2/SPEC.md; context: prompts/2026-09-27-corrigibility-kernel-phase2/REPORT.md. The signature of Workspace.Deference.Contrib.KernelExtension.DecisionInterface.realized_rate (theorem) in lean/Workspace/Deference/Contrib/KernelExtension.lean, verbatim, binders included (ruling F1, 2026-10-23: the hypotheses are unread, and this text is what a reader files them from):

(K : โ„•) (hK : 0 < โˆ‘ k โˆˆ range K, ๐“˜.w k) : (โˆ‘ k โˆˆ range K, ๐“˜.w k ๐“˜.ฯ€ k) / (โˆ‘ k โˆˆ range K, ๐“˜.w k) โ‰ค (โˆ‘ k โˆˆ range K, ๐“˜.w k (๐“˜.D - ๐“˜.c k)) / (๐“˜.ฯ– โˆ‘ k โˆˆ range K, ๐“˜.w k) + (๐“˜.explMass K / โˆ‘ k โˆˆ range K, ๐“˜.w k) ((๐“˜.D - ๐“˜.lo) / ๐“˜.ฯ– + ๐“˜.ฮธhi) + (๐“˜.B K + ๐“˜.M K) / (๐“˜.ฯ– * โˆ‘ k โˆˆ range K, ๐“˜.w k)

Author and human events

Author @smithy-verity; version 1; size S.

No human event has touched this node.

Edges

Above

Ranking (the lens, not the structure)
{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "hypotheses unread",
  "no belief"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 4,
  "weaker": "ref"
 },
 "belief": null,
 "draft": "ai"
}

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