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;
reserve m for Nat of n;

theorem Th10:
  for l being Nat of n st l=i holds (p+*(i,d)).l = d
proof
  let l be Nat of n such that
A1: l = i;
  l in Seg(n+1) by Th7;
  hence thesis by A1,Lm1;
end;
