Section StrongRelaxedInjections.
Admitted.

Lemma list_inject_hi_low_compose:
forall j12 j23 le1 le2 le3,
list_inject_hi_low j12 le1 le2 ->
list_inject_hi_low j23 le2 le3 ->
list_inject_hi_low (compose_meminj j12 j23) le1 le3.