Skip to main Published July 15, 2026 | Version July 16, 2026 Consistent Histories in Lean 4 Description A complete Lean 4 formalization of the paper "Consistent histories: enforcing linearity and excluding double-spending amongst collaborating controllers" by Murdoch J. Gabbay and Isaac Sheff, https://doi.org/10.5281/zenodo.21074359 . This work contains mechanically verified proofs of the paper's development, from the algebra of located semilattices with Cut through to its two main safety results.