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Things to know

No one's pov

Izuku's story

Izuku was first reported when Aizawa got a call by a random civilian that there is a baby crying in the back of their building

Aizawa went to the certain place and he heard a baby crying too.

He went to the back of the building and still heard it.

He heard a noise near some boxes and as he went closer to the boxes that louder the noise was.

Aizawa went to a box the had free on the top of it and saw a toddler close to baby with big green eye and hair starring up at aizawa

Aizawa picked up the child and with no hesitation brought it home

When the child got closer to aizawa and his husband hizashi he got comfortable enough to tell them things

Midoriya: my name is Izuku Midoriya, I'm four years old, a-and I'm quirkless

Aizawa and hizashi both knew that is why he was in a box left behind

Aizawa and hizashi both decided to adopt the boy and love him with all their hearts

Overhaul attack

So I'm guessing everyone knows about overhaul and his attack and how they got eri and all so yeah