-        for dim in dims:
-            if dim in symbols:
-                first = symbols.index(dim)
-                islbset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, first, 1)  
-                symbols.__delitem__(first)     
-            else:
-                islbset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, 0, 0)        
-        return Polyhedron._fromislset(islbset, symbols)
-    
+        # the trick is to walk symbols in reverse order, to avoid index updates
+        for index, symbol in reversed(list(enumerate(self.symbols))):
+            if symbol in symbols:
+                islset = libisl.isl_set_project_out(islset, libisl.isl_dim_set, index, 1)
+        # remaining symbols
+        symbols = [symbol for symbol in self.symbols if symbol not in symbols]
+        return Domain._fromislset(islset, symbols)
+