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

Lemma inject_separated_intern_incr_fwd:
forall mu mu' m1 m2 mu'' m2'
(SEP: sm_inject_separated mu mu' m1 m2)
(SEP': sm_inject_separated mu' mu'' m1 m2')
(INC: intern_incr mu mu') (INC': intern_incr mu' mu'')
(FWD: mem_forward m2 m2')
(WD': SM_wd mu') (WD'': SM_wd mu''),
sm_inject_separated mu mu'' m1 m2.