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 (*                                                                        *)
 (**************************************************************************)
 
-include "ground/lib/arith.ma".
-include "static_2/notation/functions/upspoon_2.ma".
+include "ground/arith/nat.ma".
+include "static_2/notation/functions/uparrow_1_0.ma".
 
 (* SORT HIERARCHY ***********************************************************)
 
 (* sort hierarchy specification *)
 record sh: Type[0] ≝ {
-  next: nat → nat (* next sort in the hierarchy *)
+  sh_next: nat → nat (* next sort in the hierarchy *)
 }.
 
 interpretation "next sort (sort hierarchy)"
-   'UpSpoon h s = (next h s).
+   'UpArrow_1_0 h = (sh_next h).
 
 definition sh_is_next (h): relation nat ≝
-           Î»s1,s2. â«¯[h]s1 = s2.
+           Î»s1,s2. â\87¡[h]s1 = s2.