Section: New Results

Finites sets, finite maps, multisets, order types

Participant : Cyril Cohen.

We extend the Mathematical Components library with a module concerning finite sets (in potentially infinite types), finite maps and multisets. This module plays a crucial role in the formalization of nominal sets, multinomials, semi-algebraic sets, and many experimental developments.

We also extend the Mathematical Components library with a module concerning orders, lattices, and sets. This serves as an abstraction on various libraries, including the finite set library, semi-algebraic sets, finite reunions of intervals, and boolean predicates (in classical theories).