X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Frdeq_drops.ma;h=6246d21a2d954289a29a2336b66ce87fdfb3a305;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=3a44480798ba19be67885cb579781a6f0f564db6;hpb=50a9ed8c6207145fccf59e6a5dbbff935cd2c6d7;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma
index 3a4448079..6246d21a2 100644
--- a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_drops.ma
@@ -16,30 +16,37 @@ include "static_2/relocation/lifts_tdeq.ma".
 include "static_2/static/rex_drops.ma".
 include "static_2/static/rdeq.ma".
 
-(* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
+(* SORT-IRRELEVANT EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ***)
 
 (* Properties with generic slicing for local environments *******************)
 
-lemma rdeq_lifts_sn: ∀h,o. f_dedropable_sn (cdeq h o).
+lemma rdeq_lifts_sn: f_dedropable_sn cdeq.
 /3 width=5 by rex_liftable_dedropable_sn, tdeq_lifts_sn/ qed-.
 
 (* Inversion lemmas with generic slicing for local environments *************)
 
-lemma rdeq_inv_lifts_sn: ∀h,o. f_dropable_sn (cdeq h o).
+lemma rdeq_inv_lifts_sn: f_dropable_sn cdeq.
 /2 width=5 by rex_dropable_sn/ qed-.
 
-lemma rdeq_inv_lifts_dx: ∀h,o. f_dropable_dx (cdeq h o).
+lemma rdeq_inv_lifts_dx: f_dropable_dx cdeq.
 /2 width=5 by rex_dropable_dx/ qed-.
 
-lemma rdeq_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.
+lemma rdeq_inv_lifts_bi: ∀L1,L2,U. L1 ≛[U] L2 → ∀b,f. 𝐔⦃f⦄ →
+                         ∀K1,K2. ⬇*[b,f] L1 ≘ K1 → ⬇*[b,f] L2 ≘ K2 →
+                         ∀T. ⬆*[f] T ≘ U → K1 ≛[T] K2.
 /2 width=10 by rex_inv_lifts_bi/ qed-.
 
-lemma rdeq_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.
+lemma rdeq_inv_lref_pair_sn: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 →
+                             ∃∃K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 & K1 ≛[V1] K2 & V1 ≛ V2.
 /2 width=3 by rex_inv_lref_pair_sn/ qed-.
 
-lemma rdeq_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.
+lemma rdeq_inv_lref_pair_dx: ∀L1,L2,i. L1 ≛[#i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I}V2 →
+                             ∃∃K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I}V1 & K1 ≛[V1] K2 & V1 ≛ V2.
 /2 width=3 by rex_inv_lref_pair_dx/ qed-.
+
+lemma rdeq_inv_lref_pair_bi (L1) (L2) (i):
+                            L1 ≛[#i] L2 →
+                            ∀I1,K1,V1. ⬇*[i] L1 ≘ K1.ⓑ{I1}V1 →
+                            ∀I2,K2,V2. ⬇*[i] L2 ≘ K2.ⓑ{I2}V2 →
+                            ∧∧ K1 ≛[V1] K2 & V1 ≛ V2 & I1 = I2.
+/2 width=6 by rex_inv_lref_pair_bi/ qed-.