False. You need all operators because for database NULL-alike logic you cannot infer results from one half of operators.
NULL < NULL == false NULL > NULL == false
http://sqlfiddle.com/#!4/d8fff5/14/0
http://sqlfiddle.com/#!17/9eecb/83597/0
http://sqlfiddle.com/#!18/9eecb/142653/0
func_a() > func_b()