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Add Lean verification evidence for claims 4 and 5
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---
title: "Repro - Lipschitz Continuous Transformers"
emoji: 🎯
colorFrom: yellow
colorTo: red
sdk: static
pinned: false
tags:
- trackio
- trackio-logbook
- open-experiment
- icml2026-repro
- paper-OVBpXUvwMi
---
# Reproduction: Approximation Theory for Lipschitz Continuous Transformers
**Current verification:** the live judge awarded **8/10**. This revision
preserves Claims 1–3 byte-for-byte and upgrades only Claims 4–5 with Lean 4
formal evidence and failing theorem controls. Start at the
[Executive summary](#/executive-summary).
Claim 5's arbitrary compact-space density theorem is kernel checked. Claim 4's
universal deduction is kernel checked from the paper-class
lattice/interpolation premises; its exact matrix-level realization remains an
explicit MEDIUM-confidence boundary.
Previous live judged score: **8/10**. Conservative forecast after this
candidate: **9–10/10**; best-supported possible score: **10/10 (forecast, not
a judge result)**. The score does not change until the live judge evaluates
the published revision.