Definition rmap_age1 (k:rmap) : option rmap :=
match unsquash k with
| (O,_) => None
| (S n,x) => Some (squash (n,x))
end.
Definition rmap_unage (k:rmap) : rmap :=
match unsquash k with
| (n,x) => squash (S n, x)
end.

(* Specifications: *)
Lemma rmap_age1_knot_age1 :
rmap_age1 = @age1 _ K.ag_knot.
Lemma rmap_age1_eq: @age1 _ ag_rmap = rmap_age1.
Lemma rmap_level_eq: @level rmap ag_rmap = fun x => fst (unsquash x).
Lemma unevolve_identity_rmap :
forall w w':rmap, necR w w' -> identity w' -> identity w.