--- /dev/null
+set "baseuri" "cic:/test".
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+alias symbol "plus" (instance 0) = "natural plus".
+alias symbol "times" (instance 0) = "natural times".
+alias id "mult_n_O" = "cic:/Coq/Init/Peano/mult_n_O.con".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+
+theorem t: \forall x:nat. x * (x + 0) = (0 + x) * (x + x * 0).
+ intro.
+ replace in \vdash (? ? (? ? %) (? % %)) with x.
+ reflexivity.
+ rewrite < mult_n_O x.
+ rewrite < plus_n_O x.
+ reflexivity.
+ reflexivity.
+ auto.
+qed.
\ No newline at end of file