breastfeeding question?

So my mom is trying to tell me I have to breast feed if I want my uterus to shrink back to it's normal size. Is this true? She's super against formula and says I won't lose any of the baby weight I gained from the pregnancy. I'm super curious if she's right. Btw my child is exactly a month old and I just stopped breastfeed yesterday and started formula a couple days ago. So idk if my mom is just telling me this cause she doesn't support formula feeding or what... I would really like to know if these are true? 

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