
theorem
  and3.<*0,0,0*>=0 & and3.<*0,0,1*>=0 & and3.<*0,1,0*>=0 & and3.<*0,1,1
*>=0 & and3.<*1,0,0*>=0 & and3.<*1,0,1*>=0 & and3.<*1,1,0*>=0 & and3.<*1,1,1*>=
  1
proof
  thus and3.<*0,0,0*> = FALSE '&' FALSE '&' FALSE by Def9
    .= 0;
  thus and3.<*0,0,1*> = FALSE '&' FALSE '&' TRUE by Def9
    .= 0;
  thus and3.<*0,1,0*> = FALSE '&' TRUE '&' FALSE by Def9
    .= 0;
  thus and3.<*0,1,1*> = FALSE '&' TRUE by Def9
    .= 0;
  thus and3.<*1,0,0*> = TRUE '&' FALSE '&' FALSE by Def9
    .= 0;
  thus and3.<*1,0,1*> = FALSE '&' TRUE by Def9
    .= 0;
  thus and3.<*1,1,0*> = TRUE '&' TRUE '&' FALSE by Def9
    .= 0;
  thus and3.<*1,1,1*> = TRUE '&' TRUE by Def9
    .= 1;
end;
