Bnha Pro hero izuku is All might's son
Inko is married to Yagi Toshinori, She knows he is all might.
Yagi's Injury wasn't as bad OR he was never injured.
The public knows all Might is married But they don't know anything about his wife.
Izuku is their son. The public doesn't know about him.
For as long as izuku could remember He wanted to be a Hero. Whenever he could he would try to help anyone he could.
He got cats out if trees, Helped kids With bullies, Help the elderly cross the streets and more.
He never did it for the praise, all he wanted to do was help even if it wasn't a big help.
Izuku was born Quirkless, And when he turned 8 his dad told him the secret of his Quirk, And started to train him so he could inherit it.
Izuku Has lots of Pro heroes as his Aunts and uncles, So he was also trained by them.
He became a Healthy and fit young Boy.
He Gets One for all A year before the UA entrance exam But he struggles with the power output, So for a year he focuses on Finding a way to use One for All without breaking his bones.
He broke a lot of bones in the first couple of months but soon figured out to let one for all spread all over his body while controlling the power output.
By the time the entrance exams stated he could control 15% Easily and if he had to he could go up to 25% But it was painful and hard to keep up.
He is The only person who did the entrance exams that got rescue points.
He came first with 20 more rescue points then villian points.
He gets into class 1A.
Years go by And He becomes a Pro Hero.
And one day Izuku teams up with all might to rescue people from a building that was falling.
They had saved all the people and where checking on them when a Young child ran back towards the building to grab their pet.
And as the parents of the child screamed but failed to get up from their injuries, Izuku turns around just in time to see the building about to collapse on top of the kid.
So running as fast as he can he managed to shield the child as the building came down.
All might had just returned after taking an critical injury person to the hospital to see the building collapse on top of his son.
He tells in horror SON as he runs to the building. Lifting up all the debris he finds his son crouched over a child an a cat badly injured.
He picks them all up gives the kid and cat to the parents and then runs Faster than he has ever gone To a hospital, Breaking the doors as he Yells for someone to save his son.
A video goes viral of the incident Of Izuku Saving the child and cat and all mights reaction.
People are shocked to learn that izuku is All might's son as he doesn't look like him. (Izuku got all the looks of his mother but his dad's Personality And drive to be a Hero)