assumption
US /əˈsʌmp.ʃən/
UK /əˈsʌmp.ʃən/

1.
a thing that is accepted as true or as certain to happen, without proof
:
•
We are working on the assumption that the economy will improve.
•
His assumption proved to be incorrect.
2.
the act of taking power or responsibility
:
•
The assumption of power by the new government was peaceful.
•
Her assumption of leadership roles was natural.