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Lesniewski’s Mereology is a Coq library created by R. Dapoigny and P. Barlatier whose main objective is to provide a tractable model of Stanislaw Lesniewski’s Mereology. For that purpose, the developed theory relies on Clay’s formulation of mereology based on characteristic functions to construct appropriate sets. Using a single axiom for partial order we prove that this axiom is equivalent to the single axiom of mereology and then that it has a boolean model without zero. In addition, we have extended the model based on definitions in order to get rid of axioms and to allow for incremental modelling of applications. Furthermore, the base theory has been also proved in Isabelle/HOL with full automation.