feat(algebra/order/archimedean): `archimedean_iff_int_lt`, `archimedean_iff_int_le`, `floor_ring.archimedean` (#15909)
Add lemmas `archimedean_iff_int_lt` and `archimedean_iff_int_le`,
analogous to existing lemmas for `nat` and `rat`. Deduce that a
linear ordered field that is a floor ring is archimedean (it seems we
currently only have the converse direction).