The phrase "assumed without" is correct and usable in written English.
It can be used when discussing something that is taken for granted or accepted without further evidence or consideration.
Example: "The conclusion was assumed without any supporting data, leading to flawed results."
Alternatives: "taken for granted" or "accepted without question".
Too much is assumed without explanation.
Justice Kennedy assumed, without deciding, that Sergeant Quon had a reasonable expectation of privacy.
Justice Thomas said the court therefore assumed, without deciding, that her individual claim was moot.
Furthermore, "Gibson assumed, without asking, that T.N. had undertaken to provide it with lawfully harvested and exported materials".
Although I bought him out of the apartment, we both assumed, without a word spoken, that he would keep most of what was inside.
But for more than a century, Supreme Court cases have assumed, without directly confronting the issue, that the right does not apply to minor offenses.
Because all analytic propositions are both a priori and necessary, most philosophers have assumed without much reflection that all necessary propositions are a priori.
Ways of minimising bad behaviour are suggested the best from Intel, whose staff receive training in "constructive confrontation", learning how to fight (verbally, it is assumed) without bullying.
In most cases, the changes in the 87Sr/86Sr ratio are so large that an initial value can be assumed without jeopardizing the accuracy of the results.
The statement noted that in a 1996 decision, Loving v. United States, which upheld the military's general death penalty provision, the justices simply assumed, without deciding, that the court's death penalty jurisprudence was fully applicable to the military.
Representative John M. Spratt Jr. of South Carolina, the senior Democrat on the House Budget Committee, noted that the administration assumed, without any explanation, very large jumps in corporate profits in 2004 and 2005.
