Section StrongRelaxedInjections.
Admitted.

Lemma list_memval_inject_strong_compose:
forall j12 j23 vals1 vals2 vals3,
list_memval_inject_strong j12 vals1 vals2 ->
list_memval_inject j23 vals2 vals3 ->
list_memval_inject (compose_meminj j12 j23) vals1 vals3.