Library Lebesgue.Bochner.Bochner

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 the Bochner integral.

Description

Support for the Bochner integral of simple functions to Banach spaces

See Lebesgue.Bochner.hierarchy_notations, Lebesgue.Bochner.simpl_fun, Lebesgue.Bochner.BInt_sf, and Lebesgue.Bochner.Bsf_Lsf.

Support for the Bochner integral of functions to Banach spaces

See Lebesgue.Bochner.Bi_fun, Lebesgue.Bochner.BInt_Bif, Lebesgue.Bochner.BInt_LInt_p, Lebesgue.Bochner.BInt_R, and Lebesgue.Bochner.B_spaces.

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 and Flocq.
This module may also be used through the import of Lebesgue.Bochner.Bochner_wDep, where it is exported.
The exported modules below redefine some notations, thus it is convenient to deactivate the 'notation-overridden' and 'hiding-delimiting-key' warning options of the Coq compiler, e.g. in the _CoqProject file.

From Lebesgue Require Export hierarchy_notations simpl_fun BInt_sf Bsf_Lsf.
From Lebesgue Require Export Bi_fun BInt_Bif BInt_LInt_p BInt_R B_spaces.