feat(algebra/order/rearrangement) : Rearrangement Inequality (#10861)
A range of variants of the rearrangement inequality.
This is stated with scalar multiplication of a linear ring over an additive linear group, rather than having everything be in a linear ring. We couldn't find general statements of the rearrangement inequality in the literature, but this very much seems like an improvement.
Co-authored-by: YaelDillies <yael.dillies@gmail.com>
Co-authored-by: Mantas Bakšys <39908973+MantasBaksys@users.noreply.github.com>