reserve n,i,j,k,l for Nat;
reserve D for non empty set;
reserve c,d for Element of D;
reserve p,q,q9,r for FinSequence of D;
reserve RAS for MidSp-like non empty ReperAlgebraStr over n+2;
reserve a,b,d,pii,p9i for Point of RAS;
reserve p,q for Tuple of (n+1),RAS;

theorem
  i in Seg(n+1) implies (p+*(i,d)).i = d & for l st l in (dom p)\{i}
  holds (p+*(i,d)).l = p.l by Lm1,Lm2;
