fact: Definition large_qarity a := match a with | 7 => Qa9 | 8 => Qa10 | 9 => Qa11 | _ => small_qarity a end.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype path fingraph) fourcolor(hypermap geometry color coloring patch cfmap quiz)