proposition: Lemma dom_freshN h x : x \in dom h -> x != fresh h.
proof: Proof. by move/dom_ordfresh; case: ltngtP. Qed.
imports: Coq(ssreflect ssrbool ssrfun) mathcomp(ssrnat eqtype seq path interval) pcm(options prelude pred finmap rtc seqext useqord uslice uconsec)