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Syracuse Conjecture Proof Project

Objective

Demonstrate the Syracuse Conjecture (Collatz) by introducing new mathematical structures and applying absolute formal rigor.

Repository Structure

In order to ensure clear and rigorous tracking of the work, the repository is structured as follows:

• inprogress/ : Folder dedicated to current theoretical attempts and research axes under exploration.
• resolved/ : Folder for storing definitively validated proofs, rigorously demonstrated intermediate lemmas, and solid frameworks.
• impasses/ : Archiving folder for unsuccessful trials, errors, and theoretical dead ends. Keeping these trials prevents redundancy in research.

Historique des avancées

• [2023-10-27] : Initialisation du dépôt.
• [2026-07-31] : Enrichment of Attempt 01 - fibration_adelique_syracuse (FR & EN Versions). Resolution of Lemma 36. Status: In progress.