proposition: Theorem Rmorph_to_inv (R S : Real.model) x : Rmorph_to R (Rmorph_to S x) == x.
proof: Proof. apply: Rmorph_uniq (Rmorph_to R \o Rmorph_to S) idfun _ (Rmorph_id R) x. by apply: Rmorph_comp; apply: Rmorph_toP. Qed.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq order) mathcomp(ssralg ssrnum ssrint rat) Coq(Morphisms Setoid) fourcolor(real realsyntax realprop)