Let us see what is the result of the translation of
print!(double "soothe")

[[print!(double "soothe")]]

=

(def c1 x1:/String = 
  (def c2 x2:String = x1!x2 
      [[(double "soothe") → c2]])
 [[print → c1]])

=

(def c1 x1:/String = 
  (def c2 x2:String = x1!x2 
      [[ double!["soothe" c2] ]])
 c1!print)


= (for simplicity's sake we translate [[ double!["soothe" c2] ]]
   directly in double!["soothe" c2] . We can assume 
   the translation of Core PICT expressions or processes
   to be the identity)


(def c1 x1:/String = 
  (def c2 x2:String = x1!x2 
      double!["soothe" c2])
 c1!print)

To convince ourselves that the above process
does exactly what 

double!["soothe" print] 

does, let us execute it (mind that there is the def of double
that precedes all)

(def c1 x1:/String = 
  (def c2 x2:String = x1!x2 
      double!["soothe" c2])

 c1!print)

--> 

(def c1 x1:/String = 
  (def c2 x2:String = x1!x2 
      double!["soothe" c2])
 
 (def c2 x2:String = print!x2 
      double!["soothe" c2]) )

-->

(def c1 x1:/String = 
  (def c2 x2:String = x1!x2 
      double!["soothe" c2])
 
  (def c2 x2:String = print!x2 
      +$!["soothe" "soothe" c2]))

the string appending process will then execute
the process  c2!"soothesoothe" whose execution
will cause the execution of

print!"soothesoothe"

che provoca la stampa di

soothesoothe