proposition: Lemma umallbPt p k v : C k -> um_allb p (pts k v) = p (k, v).
proof: Proof. by move=>C'; rewrite /um_allb umcntPt domPtK C' /=; case: (p (k, v)). Qed.
imports: Coq(ssreflect ssrbool ssrfun) mathcomp(ssrnat eqtype seq path bigop) pcm(options prelude finmap seqperm pred seqext) pcm(pcm morphism)