syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / frees_append.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/frees_append.ma b/matita/matita/contribs/lambdadelta/basic_2/static/frees_append.ma
deleted file mode 100644 (file)
index 9cf6bfe..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/static/frees_append.ma
+++ /dev/null
@@ -1,59 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/syntax/append.ma".
-include "basic_2/static/frees.ma".
-
-(* CONTEXT-SENSITIVE FREE VARIABLES *****************************************)
-
-(* Properties with append for local environments ****************************)
-
-lemma frees_append_void: ∀f,K,T. K ⊢ 𝐅*⦃T⦄ ≘ f → ⓧ.K ⊢ 𝐅*⦃T⦄ ≘ f.
-#f #K #T #H elim H -f -K -T
-[ /2 width=1 by frees_sort/
-| #f * /3 width=1 by frees_atom, frees_unit, frees_lref/
-| /2 width=1 by frees_pair/
-| /2 width=1 by frees_unit/
-| /2 width=1 by frees_lref/
-| /2 width=1 by frees_gref/
-| /3 width=5 by frees_bind/
-| /3 width=5 by frees_flat/
-]
-qed.
-
-(* Inversion lemmas with append for local environments **********************)
-
-fact frees_inv_append_void_aux: ∀f,L,T. L ⊢ 𝐅*⦃T⦄ ≘ f →
-                                ∀K. L = ⓧ.K → K ⊢ 𝐅*⦃T⦄ ≘ f.
-#f #L #T #H elim H -f -L -T
-[ /2 width=1 by frees_sort/
-| #f #i #_ #K #H 
-  elim (append_inv_atom3_sn … H) -H #H1 #H2 destruct
-| #f #I #L #V #_ #IH #K #H
-  elim (append_inv_bind3_sn … H) -H * [ | #Y ] #H1 #H2 destruct
-  /3 width=1 by frees_pair/
-| #f #I #L #Hf #K #H
-  elim (append_inv_bind3_sn … H) -H * [ | #Y ] #H1 #H2 destruct
-  /2 width=1 by frees_atom, frees_unit/
-| #f #I #L #i #Hf #IH #K #H
-  elim (append_inv_bind3_sn … H) -H * [ | #Y ] #H1 #H2 destruct
-  /3 width=1 by frees_lref, frees_lref_push/
-| /2 width=1 by frees_gref/
-| /3 width=5 by frees_bind/
-| /3 width=5 by frees_flat/
-]
-qed-.
-
-lemma frees_inv_append_void: ∀f,K,T. ⓧ.K  ⊢ 𝐅*⦃T⦄ ≘ f → K ⊢ 𝐅*⦃T⦄ ≘ f.
-/2 width=3 by frees_inv_append_void_aux/ qed-.