Le Leggi di Bulla: Seventeen Derived Laws from Existing Formalized Mathematics
We present seventeen derived statements, the Leggi di Bulla (Bulla Laws I–XVII), obtained by combination, generalization, duality and quantification of existing formalized results in a large Lean mathematics library (23 domains, OAI library, branch F_B, directorydrfrancescobulla/). Laws I–VII derive from number theory and analysis (Catalan’s constant,the 7/8 quasi-Riemann half-plane, the irrationality exponent of π, short Egyptian fractions, Jacobsthal’s function, joint Dickman laws, Ostmann indecomposability). Laws VIII–XVII mix alldomains from Algebra to Topology (Bezout frames, ballisticity, Salvetti complexes, combinatorial games, Barker codes, equivariant sections, trace reconstruction, forcing, tropical optimization, Dickman pairing). Each law cites its exact sources; status is honestly marked as derivedconjecture unless proved. Lean sketches (BullaLaw01–BullaLaw17) accompany the text. Noclaim of proof is made where a sorry remains
Authors
- Francesco BULLA (ORCID: https://orcid.org/0009-0006-0353-021X)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-11
- DOI
- https://doi.org/10.5281/zenodo.23288734
- Primary Topic
- Analytic Number Theory Research
- Type
- preprint