∀ {R : Type u_1} {S : Type u_2} [inst : Semiring S] [inst_1 : PartialOrder S] [inst_2 : Semiring R]
  {v w : AbsoluteValue R S} {x : R},
  (WithAbs.equivWithAbs v w).symm ((WithAbs.equiv w).symm x) = (WithAbs.equiv v).symm x