+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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/reduction/crr_append.ma".
-include "basic_2/reduction/cir.ma".
-
-(* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE REDUCTION ************************)
-
-(* Advanved properties ******************************************************)
-
-lemma cir_labst_last: ∀G,L,T,W. ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, ⋆.ⓛW @@ L⦄ ⊢ ➡ 𝐈⦃T⦄.
-/3 width=2 by crr_inv_labst_last/ qed.
-
-lemma cir_tif: ∀G,T,W. ⦃G, ⋆⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, ⋆.ⓛW⦄ ⊢ ➡ 𝐈⦃T⦄.
-/3 width=2 by crr_inv_trr/ qed.
-
-(* Advanced inversion lemmas ************************************************)
-
-lemma cir_inv_append_sn: ∀G,L,K,T. ⦃G, K @@ L⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄.
-/3 width=1/ qed-.
-
-lemma cir_inv_tir: ∀G,T,W. ⦃G, ⋆.ⓛW⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, ⋆⦄ ⊢ ➡ 𝐈⦃T⦄.
-/3 width=1/ qed-.