
theorem
  nor3.<*0,0,0*>=1 & nor3.<*0,0,1*>=0 & nor3.<*0,1,0*>=0 & nor3.<*0,
1,1*>=0 & nor3.<*1,0,0*>=0 & nor3.<*1,0,1*>=0 & nor3.<*1,1,0*>=0 & nor3.<*1
  ,1,1*>=0
proof
  thus nor3.<*0,0,0*> = TRUE '&' 'not' FALSE '&' 'not' FALSE by Lm7
    .= 1;
  thus nor3.<*0,0,1*> = 'not' FALSE '&' 'not' FALSE '&' 'not' TRUE by Lm7
    .= 0;
  thus nor3.<*0,1,0*> = 'not' FALSE '&' 'not' TRUE '&' 'not' FALSE by Lm7
    .= 0;
  thus nor3.<*0,1,1*> = 'not' FALSE '&' 'not' TRUE '&' FALSE by Lm7
    .= 0;
  thus nor3.<*1,0,0*> = 'not' TRUE '&' 'not' FALSE '&' 'not' FALSE by Lm7
    .= 0;
  thus nor3.<*1,0,1*> = 'not' TRUE '&' 'not' FALSE '&' FALSE by Lm7
    .= 0;
  thus nor3.<*1,1,0*> = FALSE '&' 'not' TRUE '&' 'not' FALSE by Lm7
    .= 0;
  thus nor3.<*1,1,1*> = 'not' TRUE '&' 'not' TRUE '&' FALSE by Lm7
    .= 0;
end;
