"implicit presumption" is correct and usable in written English.
You could use it when you are referring to an assumption that is made without being openly expressed. For example, "Due to the implicit presumption that only men can be leaders, there is a lack of female representation in government."
There's an implicit presumption that viewers will not just understand that the humor is meant for Internet repurposing, but that they'll do the repurposing themselves.
Led by a current member of the department's board, the implicit presumption was clear: the board has been let down by bungling underlings and no responsibility fell to anybody at the top.
The implicit presumption, then, is that federally funded researchers would have to obtain stem cells from private sources that have no restrictions on the destruction of embryos--the first of many slippery slopes.
A second way to challenge the presumption of atheism is to question an implicit assumption made by those who defend such a presumption, which is that belief in God is epistemologically more risky than unbelief.
Another presumption implicit in the pro-market argument is that "a rising tide lifts all boats".
Implicit in this debate is the presumption that the first stimulus -- all $787 billion of it -- was actually too small to jump-start a classic recovery.
Implicit to his claim is a presumption of innocence on his part.
This defence may well be implicit in Flew's famous "The Presumption of Atheism" (1972).
8 It argues, [End Page 224] therefore, against the presumption of tacit causality--logically implicit in the concept of "Social Darwinism" 9 --that much of the social and political theory which nominally invoked Darwin was fundamentally derived from, as opposed to being reinforced by, the principles of natural selection.
It thus appears strange for the Court to say that 'deficiencies' in the complaint 'could not be cured by the Commissioner's reliance upon a presumption * * * (of) personal knowledge.' Implicit in petitioner's entire argument is the fact that no presumption was indulged.
