| Rank | Theorem | Name |
| 10 | Thm* L:MsgA List. ( A,B L.A ||+ B)  ( M:MsgA. ( B L.B ||+ M)  (L) ||+ M) | [ma-join-list-compat2] |
| cites the following: |
| 9 | Thm* L:MsgA List. ( A,B L.A ||+ B)  ( M:MsgA. ( B L.M ||+ B)  M ||+ (L)) | [ma-join-list-compat] |
| 7 | Thm* A,B:MsgA. A ||+ B  B ||+ A | [ma-compat-symmetry] |