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.
Exports complements about logic and numbers for numerical analysis.
Provides:
Also provides:
See also Logic.logic_compl.
Additional results about natural numbers, for both the Coq standard library
and the Mathematical Components library.
See also Numbers.nat_compl.
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.
Brief description
Description
Complements about logic
- 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.
- functional_extensionality as fun_ext;
- equal_f as fun_ext_rev;
- propositional_extensionality as prop_ext;
- proof_irrelevance as proof_irrel;
- excluded_middle_informative as classic_dec;
- constructive_indefinite_description as ex_EX.