Library Numbers.Numbers_wDep

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 complements about logic and numbers for numerical analysis.

Description

Complements about logic

Provides:
  • classical logic (ie excluded middle in Prop);
  • functional and propositional extensionality;
  • proof irrelevance;
  • excluded middle in Set;
  • unique and non-unique choice;
  • a constructive form of indefinite description.
Also provides:
See also Logic.logic_compl.

Complements about numbers

Additional results about natural numbers, for both the Coq standard library and the Mathematical Components library.
See also Numbers.nat_compl.

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 Logic Require Export logic_compl.
From Numbers Require Export nat_compl.