Hi is it true that if you do not have 1080P, you will not get Blu-ray picture...

...but, will get HD picture? Hi I heard that if you have 1080P HDTV & with Blu-ray player, you will get true Blu-ray picture. If you have 720P or 1080i HDTV & with Blu-ray player, you will only get Hi-Def picture but, not Blu-ray picture? Is that true? No wounder the picture it looks little grainy. Thank you.
 
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