Ltac evalDet_tac1 :=
    match goal with
      | [H : cs_more _ _ = cs_more _ _ |- _ ] => inversion H; clear H; subst
      | [|- evalDet_steps ?c ?c ] => econstructor
      | [H : evalDet_steps (evalDet_step ?c ?s) _ |- evalDet_steps (cs_more (Bind ?c _) ?s) _ ] => inversion H; clear H; subst
      | [H : (evalDet_step ?c ?s) = _ |- evalDet_steps (cs_more (Bind ?c _) ?s) _ ] => econstructor; simpl
      | [|- context[match ?x with | cs_done _ _ => _ | cs_eof _ => _ | cs_more _ _ => _ end] ] => case_eq x; intuition

    end.

Lemma evalDet_steps_eof_inv : forall (A : Set)(c : Comp A) s, evalDet_steps (cs_more c s) (@cs_eof A) -> exists c'' s'', evalDet_steps (cs_more c s) (cs_more c'' s'') /\ evalDet_step c'' s'' = (@cs_eof A).