Alignment Workspace

progress.edge-bound.record

leaf/record · drafted

Statement

The declaration Workspace.Normativity.Contrib.NormativeInductorComposition.edge_progress_bound is accepted by the Lean kernel in the repository's Lean library.

Source

projects/normativity/CLAIMS.md, entry progress.edge-bound (class lean-proved, status active, origin round 2026-09-06-mathematical-consolidation; answers item 78). Documentation: verification: projects/normativity/legitimacy/rounds/2026-09-06-mathematical-consolidation/THEOREMS.md; context: projects/normativity/legitimacy/rounds/2026-09-06-mathematical-consolidation/CONSOLIDATION.md. The signature of Workspace.Normativity.Contrib.NormativeInductorComposition.edge_progress_bound (theorem) in lean/Workspace/Normativity/Contrib/NormativeInductorComposition.lean, verbatim, binders included (ruling F1, 2026-10-23: the hypotheses are unread, and this text is what a reader files them from):

(Es : Finset E) (Ss : Finset S) (T Λ M ε : E → S → ℝ) (d ν : S → ℝ) (Γ D : ℝ) (hT : ∀ e ∈ Es, ∀ s ∈ Ss, 0 ≤ T e s) (hd : ∀ s ∈ Ss, 0 ≤ d s) (hedge : ∀ e ∈ Es, ∀ s ∈ Ss, 0 < T e s → Λ e s ≤ M e s d s + ε e s) (hΓ : ∀ s ∈ Ss, ∑ e ∈ Es, T e s M e s ≤ Γ ν s) : (∑ e ∈ Es, ∑ s ∈ Ss, T e s Λ e s) + D (1 - ∑ e ∈ Es, ∑ s ∈ Ss, T e s) ≤ Γ (∑ s ∈ Ss, ν s d s) + (∑ e ∈ Es, ∑ s ∈ Ss, T e s ε e s) + D * (1 - ∑ e ∈ Es, ∑ s ∈ Ss, T e s)

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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