Section IDENTIFY.
Variable uf: t.
Variables a b: elt.
Hypothesis a_canon: M.get a uf.(m) = None.
Hypothesis not_same_class: repr uf b <> a.
Remark identify_Acc_b:
forall x,
Acc (order uf.(m)) x -> repr uf x <> a -> Acc (order (M.set a b uf.(m))) x.
Remark identify_Acc:
forall x,
Acc (order uf.(m)) x -> Acc (order (M.set a b uf.(m))) x.
Definition identify := mk (M.set a b uf.(m)) identify_wf.

Lemma repr_identify_1:
forall x, repr uf x <> a -> repr identify x = repr uf x.