X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flfdeq_drops.ma;h=8e0e253e022d8b6a1208e850d6ff901020fb0fca;hb=5c186c72f508da0849058afeecc6877cd9ed6303;hp=38463c2fa966342f3d30b326484f22956cbdde70;hpb=6555775aa5268dec0d9ae4579412b659cacdc964;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma
index 38463c2fa..8e0e253e0 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_drops.ma
@@ -14,36 +14,34 @@
 
 include "basic_2/relocation/lifts_tdeq.ma".
 include "basic_2/static/lfxs_drops.ma".
-include "basic_2/static/lfdeq_fqup.ma".
+include "basic_2/static/lfdeq.ma".
 
 (* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
 
 (* Properties with generic slicing for local environments *******************)
 
-(* Basic_2A1: includes: lleq_lift_le lleq_lift_ge *)
-lemma lfdeq_lifts_sn: ∀h,o. dedropable_sn (cdeq h o).
+lemma lfdeq_lifts_sn: ∀h,o. f_dedropable_sn (cdeq h o).
 /3 width=5 by lfxs_liftable_dedropable_sn, tdeq_lifts_sn/ qed-.
 
 (* Inversion lemmas with generic slicing for local environments *************)
 
-(* Basic_2A1: restricts: lleq_inv_lift_le lleq_inv_lift_be lleq_inv_lift_ge *)
-lemma lfdeq_inv_lifts_sn: ∀h,o. dropable_sn (cdeq h o).
+lemma lfdeq_inv_lifts_sn: ∀h,o. f_dropable_sn (cdeq h o).
 /2 width=5 by lfxs_dropable_sn/ qed-.
 
 (* Note: missing in basic_2A1 *)
-lemma lfdeq_inv_lifts_dx: ∀h,o. dropable_dx (cdeq h o).
+lemma lfdeq_inv_lifts_dx: ∀h,o. f_dropable_dx (cdeq h o).
 /2 width=5 by lfxs_dropable_dx/ qed-.
 
-(* Note: missing in basic_2A1 *)
-lemma lfdeq_inv_lifts_bi: ∀h,o,L1,L2,U. L1 ≡[h, o, U] L2 →
-                          ∀K1,K2,i. ⬇*[i] L1 ≡ K1 → ⬇*[i] L2 ≡ K2 →
-                          ∀T. ⬆*[i] T ≡ U → K1 ≡[h, o, T] K2.
-/2 width=8 by lfxs_inv_lifts_bi/ qed-.
-
-lemma lfdeq_inv_lref_sn: ∀h,o,L1,L2,i. L1 ≡[h, o, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 →
-                         ∃∃K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 & K1 ≡[h, o, V1] K2 & V1 ≡[h, o] V2.
-/2 width=3 by lfxs_inv_lref_sn/ qed-.
-
-lemma lfdeq_inv_lref_dx: ∀h,o,L1,L2,i. L1 ≡[h, o, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 →
-                         ∃∃K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 & K1 ≡[h, o, V1] K2 & V1 ≡[h, o] V2.
-/2 width=3 by lfxs_inv_lref_dx/ qed-.
+(* Basic_2A1: uses: lleq_inv_lift_le lleq_inv_lift_be lleq_inv_lift_ge *)
+lemma lfdeq_inv_lifts_bi: ∀h,o,L1,L2,U. L1 ≛[h, o, U] L2 → ∀b,f. 𝐔⦃f⦄ →
+                          ∀K1,K2. ⬇*[b, f] L1 ≘ K1 → ⬇*[b, f] L2 ≘ K2 →
+                          ∀T. ⬆*[f] T ≘ U → K1 ≛[h, o, T] K2.
+/2 width=10 by lfxs_inv_lifts_bi/ qed-.
+
+lemma lfdeq_inv_lref_pair_sn: ∀h,o,L1,L2,i. L1 ≛[h, o, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 →
+                              ∃∃K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 & K1 ≛[h, o, V1] K2 & V1 ≛[h, o] V2.
+/2 width=3 by lfxs_inv_lref_pair_sn/ qed-.
+
+lemma lfdeq_inv_lref_pair_dx: ∀h,o,L1,L2,i. L1 ≛[h, o, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 →
+                              ∃∃K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 & K1 ≛[h, o, V1] K2 & V1 ≛[h, o] V2.
+/2 width=3 by lfxs_inv_lref_pair_dx/ qed-.