Source authenticated

A Generalization of Boppana's Entropy Inequality

A generalization of Boppana's entropy inequality, of the kind used in union-closed-sets arguments, proved and formalized: the sharp form with the extremal constant characterized via the unique positive solution of an explicit equation.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jan 27, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-checked. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: A Generalization of Boppana's Entropy Inequality · Boppana entropy

Confidence: Not scored

Registry verification: lean checked · preprint · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Boon Suan Ho
human · human collaborator

GPT-5.2 Pro
model · ai model contributor · OpenAI

Harmonic Aristotle
model · ai model contributor · Harmonic

Gemini 3 Pro
model · ai model contributor · Google DeepMind

Artifacts and verifiers

Lean 4 formalization (Aristotle + Gemini)

lean artifact · pending

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Boon Suan Ho

This event attributed to GPT-5.2 Pro

This event attributed to Harmonic Aristotle

This event attributed to Gemini 3 Pro

Act on this frontier

Verify, challenge, or extend the result.