Library Subsets.Subsets

This file is part of the Coq Numerical Analysis library
Copyright (C) Boldo, Clément, Martin, Mayero, Mouhcine
This library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the COPYING file for more details.

Brief description

Exports support for subsets and functions.

Description

It is partly based on capabilities from SSReflect and the Mathematical Components library.

Support for operations on subsets

See Subsets.Subset, Subsets.Subset_dec, Subsets.Subset_charac, and Subsets.Subset_any.

Support for functions

See Subsets.Function, Subsets.Function_sub, and Subsets.Sub_type.

Support for homogeneous binary relations

See Subsets.Binary_relation.

Support for finite families

It is based on ordinals and big operators from the Mathematical Components library.
See Subsets.ord_compl, Subsets.Finite_family, and Subsets.Finite_table.

Usage

This module is meant to be imported after all imports from the Coq standard library, from the Mathematical Components library, and from other external Coq libraries such as Coquelicot or Flocq.
This module may also be used through the import of Subsets.Subsets_wDep, Algebra.Algebra_wDep, Lebesgue.Lebesgue_p_wDep, or Lebesgue.Bochner.Bochner_wDep, where it is exported.

From Subsets Require Export Subset Subset_dec Subset_charac Subset_any.
From Subsets Require Export Function Function_sub Sub_type.
From Subsets Require Export Binary_relation.
From Subsets Require Export ord_compl Finite_family Finite_table.