Definition smvalid_tgt (mu : SM_Injection) m2 :=
forall b2, RNG mu b2 -> Memory.Mem.valid_block m2 b2.

Lemma intern_separated_incr_fwd2:
forall mu0 mu mu' m10 m20 m1 m2,
intern_incr mu mu' ->
sm_inject_separated mu mu' m1 m2 ->
intern_incr mu0 mu ->
mem_forward m10 m1 ->
sm_inject_separated mu0 mu m10 m20 ->
mem_forward m20 m2 ->
SM_wd mu' ->
sm_inject_separated mu0 mu' m10 m20.