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Мне кажется, Вы заблудились в совершенно НЕпрактичных дебрях-абстракциях. В Математике есть гораздо более полезные темы для изучения, а наша жизнь так коротка…
Из представленных на изображении, прикреплённом Вами к сообщению, которым Вы открыли консультацию, биекциями (то есть и инъекциями, и сюръекциями) являются первая и вторая (a и b) функции с указанными в задании областями определения и значений.
Об авторе:
Facta loquuntur.
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Гордиенко Андрей Владимирович