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The model and actor announced the happy news on Thursday evening, saying: "Sylvester Apollo Bear has joined us earth side. Sly arrived 3/8/21 on the most surreal, beautiful, and love-filled morning of my life."
Emily announced her pregnancy in Vogue magazine in October last year, and wrote a personal essay on why she won't be revealing the gender of her child.
"The truth [is] that we ultimately have no idea who - rather than what - is growing inside my belly," she explained at the time.
"I like the idea of forcing as few gender stereotypes on my child as possible. But no matter how progressive I may hope to be, I understand the desire to know the gender of our foetus; it feels like the first real opportunity to glimpse who they might be.
"As my body changes in bizarre and unfamiliar ways, it's comforting to obtain any information that might make what's coming feel more real."
Emily, who shares her little one with husband of three years, producer Sebastian Bear-McClard, has revealed that her nickname for her newborn is 'wiggly' - which she revealed in a series of polaroid photos from her babymoon.
She was also forced to deny she had had lip injections while pregnant, after trolls commented on her plumper pout.
"You can't even get injections when you're pregnant," she wrote on Instagram as she shared a mirror selfie with fans. "A woman's blood volume increases 50 per cent which is why ladies can get a little puffy in the face and lips during pregnancy.
"It's weird to have your body change so much in a matter of months but I've found I have a whole new appreciation for what my body can do and what is beautiful, and I'm gonna celebrate it on here when I feel like it."
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