from util import *


@apply
def apply(self):
    assert self.is_extended_real
    return GreaterEqual(self + abs(self), 0, evaluate=False)


@prove
def prove(Eq):
    from axiom import algebra

    x = Symbol(real=True)
    Eq << apply(x)

    Eq << algebra.imply.le.abs.apply(-x).reversed + x








if __name__ == '__main__':
    run()

from . import minus
# created on 2019-09-15
