theorem Th78:
  E-min L~SpStSeq C = SE-corner C
proof
  set X = L~SpStSeq C, S = E-most X;
A1: S = LSeg(SE-corner C,NE-corner C) by Th69;
A2: S-bound C <= N-bound C by Th22;
  lower_bound (proj2|S) = lower_bound rng(proj2|S) by RELSET_1:22
    .= lower_bound(proj2.:S) by RELAT_1:115
    .= lower_bound [.S-bound C,N-bound C.] by A1,Th72
    .= S-bound C by A2,JORDAN5A:19;
  hence thesis by Th61;
end;
