-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "basic_2/reducibility/crf_append.ma".
-include "basic_2/reducibility/cif.ma".
-
-(* CONTEXT-SENSITIVE IRREDUCIBLE TERMS **************************************)
-
-(* Advanved properties ******************************************************)
-
-lemma cif_labst_last: ∀L,T,W. L ⊢ 𝐈⦃T⦄ → ⋆.ⓛW @@ L ⊢ 𝐈⦃T⦄.
-/3 width=2 by crf_inv_labst_last/ qed.
-
-lemma cif_tif: ∀T,W. ⋆ ⊢ 𝐈⦃T⦄ → ⋆.ⓛW ⊢ 𝐈⦃T⦄.
-/3 width=2 by crf_inv_trf/ qed.
-
-(* Advanced inversion lemmas ************************************************)
-
-lemma cif_inv_labst_last: ∀L,T,W. ⋆.ⓛW @@ L ⊢ 𝐈⦃T⦄ → L ⊢ 𝐈⦃T⦄.
-/3 width=1/ qed-.
-
-lemma cif_inv_tif: ∀T,W. ⋆.ⓛW ⊢ 𝐈⦃T⦄ → ⋆ ⊢ 𝐈⦃T⦄.
-/3 width=1/ qed-.