fact: Record rat : Set := Rat { valq : (int * int); _ : (0 < valq.2) && coprime `|valq.1| `|valq.2| }.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop order ssralg countalg div ssrnum) mathcomp(ssrint prime archimedean)