Definition smvalid_src (mu : SM_Injection) m1 :=
  forall b1, DOM mu b1 -> Memory.Mem.valid_block m1 b1.

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.