The phrase "actually assumes" is correct and usable in written English.
It can be used to indicate that something is being taken for granted or accepted as true in a particular context.
Example: "The theory actually assumes that all variables are independent of each other."
Alternatives: "implicitly assumes" or "essentially assumes".
He actually assumes they started something that in one way or another they assume is going to continue.
In another chapter, at the conclusion of an otherwise deliciously squalid account of the self-righteous hippie tripfest known as Burning Man, LeDuff actually assumes the role of God, a choice both perplexing and redundant.
In the end, if this group actually assumes a let-the-chips-fall-on-Ahmadinejad's-head approach, these friends, not Moscow, would be the ones confronting Iran and its key suppliers of refined petroleum products, since they are identified as Indian, British, Swiss, Dutch-Swiss and French.
While treating everyone the same seems like an egalitarian approach, it actually assumes a level playing field and ignores the specific challenges that women face.
It is said, in some versions, that Goddess Durga actually assumes the form of Goddess Kāli at this time.
Tired of the legislative gridlock around issues of utmost importance to our communities, the mayor and governor announced they would work to ensure the Democratic majority voters chose last election actually assumes power in the State Senate.
But, when would Posada actually assume the starting role?
Cake Boss could actually assume some of the organised crime credentials he clearly wishes he had in real life.
When we left our characters last year, the question remained as to who would actually assume a leadership role within Empire.
This has been the thing I have wanted to do from the moment I actually assumed this role.
"I had actually assumed I'd go on to college and was researching different design schools and programs," he says.
