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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Le Leggi di Bulla: Seventeen Derived Laws from Existing Formalized Mathematics

Francesco BULLA
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Le Leggi di Bulla: Seventeen Derived Laws from Existing Formalized Mathematics

Francesco BULLA
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.