mathematical-formalization

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Formalization experiments around structural behavior near critical points of arithmetic functions.

A comprehensive Coq formalization of the Collatz conjecture with a combinatorial analysis framework. Proves linear division advantage.

Rolle, Lagrange, and Cauchy from EVT. Fermat remains a mathlib lemma.

Compiled theorems that still miss the intended claim: domains, quantifiers, totalized operations.

Limits, continuity, compactness against mathlib APIs. Heine-Cantor is not reconstructed.

Forty review cases for formalizations that compile and still say the wrong thing.

Preprint and data for non-linear spectral structures without complexification (MSC 47J10)

Small budget and optimisation models in Lean 4. Two-good compactness of budgetSet is not proved.