[see also: importance, significance, relevance, interest]
It follows, by interchanging the roles of X and Y, that......
The notion of backward complete is defined analogously by exchanging the roles of f and f-1.
Here f takes over the role of the time parameter.
It turns out that these properties play no role in the proof.
In closing this section we take up a result which will play a pivotal role in the characterization of......
Its role is to rule out having two or more consecutive P-moves (on the ground that they can be performed in one go).
a key <principal/significant/important> role
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