Suppose I have

K.<t> = PowerSeriesRing(GF(2), 't')
R.<x,y> = PolynomialRing(K, 'x, y')

and elt is an element of t. How do I obtain the coefficient of t in elt? Do 
I have to implement a coercion from R to 
PowerSeriesRing(PolynomialRing(GF(2), 'x, y'), 't')?

Also, assuming that the degree of t in elt is actually bounded, how can I 
turn elt into an element of PolynomialRing(GF(2), 'x, y, t')? I tried 
various versions of substitute() without success.

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