Library Lebesgue.Bochner.hierarchy_notations

This file is part of the Coq Numerical Analysis library
Copyright (C) Boldo, Clément, Leclerc
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

Notations for the main operations defined in Hierarchy from the Coquelicot library.

Usage

This module may be used through the import of Lebesgue.Bochner.Bochner, or Lebesgue.Bochner.Bochner_wDep, where it is exported.

From Coquelicot Require Import Hierarchy.

Declare Scope hy_scope.
Delimit Scope hy_scope with hy.
Open Scope hy_scope.

Notation "a + b" := (plus a b) : hy_scope.

Notation "- a" := (opp a) : hy_scope.

Notation "a - b" := (plus a (- b))%hy : hy_scope.

Notation "a * b" := (mult a b) : hy_scope.

Notation "a ⋅ u" := (scal a u) (left associativity, at level 45) : hy_scope.

Notation "| u |" := (abs u) (at level 100) : hy_scope.

Notation "‖ u ‖" := (norm u) (at level 100) : hy_scope.

Notation "'∑' ( u ) n" := (sum_n u n) (at level 55) : hy_scope.

Notation "'∑' ( u ) n m" := (sum_n_m u n m) (at level 55) : hy_scope.