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clean up
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presumably this old lemma sneaked back in during a merge
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haselwarter committed Feb 15, 2024
1 parent 075ea73 commit d766227
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10 changes: 0 additions & 10 deletions theories/prob_lang/metatheory.v
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Expand Up @@ -1175,13 +1175,3 @@ Proof.
pose proof (elem_fresh_ne _ _ _ H).
by rewrite lookup_insert_ne.
Qed.

(* TODO: reducible should be a general property of Markov chains, so all the
theory in [language.v] about stuck, irreducible etc. should be generalized *)
Lemma reducible_not_final (e : expr) (σ : state) :
reducible e σ → ¬ is_final (e, σ).
Proof.
rewrite /reducible /=.
intros [v Hv] ?%is_final_dzero.
simpl in H. rewrite H in Hv. inv_distr.
Qed.

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