notational change of lift, drop, and gget

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / substitution / drop_leq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/drop_leq.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/drop_leq.ma
index 98c5f48fd8c4488f029e8bbedc2a12263c059857..d04c13b5555345a143b37a8e8b8dcf422066ae6a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/substitution/drop_leq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/drop_leq.ma
@@ -18,15 +18,15 @@ include "basic_2/substitution/drop.ma".
 (* BASIC SLICING FOR LOCAL ENVIRONMENTS *************************************)
 
 definition dedropable_sn: predicate (relation lenv) ≝
-                          λR. â\88\80L1,K1,s,d,e. â\87©[s, d, e] L1 ≡ K1 → ∀K2. R K1 K2 →
-                          â\88\83â\88\83L2. R L1 L2 & â\87©[s, d, e] L2 ≡ K2 & L1 ⩬[d, e] L2.
+                          λR. â\88\80L1,K1,s,d,e. â¬\87[s, d, e] L1 ≡ K1 → ∀K2. R K1 K2 →
+                          â\88\83â\88\83L2. R L1 L2 & â¬\87[s, d, e] L2 ≡ K2 & L1 ⩬[d, e] L2.
 
 (* Properties on equivalence ************************************************)
 
 lemma leq_drop_trans_be: ∀L1,L2,d,e. L1 ⩬[d, e] L2 →
-                         â\88\80I,K2,W,s,i. â\87©[s, 0, i] L2 ≡ K2.ⓑ{I}W →
+                         â\88\80I,K2,W,s,i. â¬\87[s, 0, i] L2 ≡ K2.ⓑ{I}W →
                          d ≤ i → i < d + e →
-                         â\88\83â\88\83K1. K1 ⩬[0, â«°(d+e-i)] K2 & â\87©[s, 0, i] L1 ≡ K1.ⓑ{I}W.
+                         â\88\83â\88\83K1. K1 ⩬[0, â«°(d+e-i)] K2 & â¬\87[s, 0, i] L1 ≡ K1.ⓑ{I}W.
 #L1 #L2 #d #e #H elim H -L1 -L2 -d -e
 [ #d #e #J #K2 #W #s #i #H
   elim (drop_inv_atom1 … H) -H #H destruct
@@ -51,16 +51,16 @@ lemma leq_drop_trans_be: ∀L1,L2,d,e. L1 ⩬[d, e] L2 →
 qed-.
 
 lemma leq_drop_conf_be: ∀L1,L2,d,e. L1 ⩬[d, e] L2 →
-                        â\88\80I,K1,W,s,i. â\87©[s, 0, i] L1 ≡ K1.ⓑ{I}W →
+                        â\88\80I,K1,W,s,i. â¬\87[s, 0, i] L1 ≡ K1.ⓑ{I}W →
                         d ≤ i → i < d + e →
-                        â\88\83â\88\83K2. K1 ⩬[0, â«°(d+e-i)] K2 & â\87©[s, 0, i] L2 ≡ K2.ⓑ{I}W.
+                        â\88\83â\88\83K2. K1 ⩬[0, â«°(d+e-i)] K2 & â¬\87[s, 0, i] L2 ≡ K2.ⓑ{I}W.
 #L1 #L2 #d #e #HL12 #I #K1 #W #s #i #HLK1 #Hdi #Hide
 elim (leq_drop_trans_be … (leq_sym … HL12) … HLK1) // -L1 -Hdi -Hide
 /3 width=3 by leq_sym, ex2_intro/
 qed-.
 
 lemma drop_O1_ex: ∀K2,i,L1. |L1| = |K2| + i →
-                  â\88\83â\88\83L2. L1 ⩬[0, i] L2 & â\87©[i] L2 ≡ K2.
+                  â\88\83â\88\83L2. L1 ⩬[0, i] L2 & â¬\87[i] L2 ≡ K2.
 #K2 #i @(nat_ind_plus … i) -i
 [ /3 width=3 by leq_O2, ex2_intro/
 | #i #IHi #Y #Hi elim (drop_O1_lt (Ⓕ) Y 0) //
@@ -81,7 +81,7 @@ qed-.
 
 (* Inversion lemmas on equivalence ******************************************)
 
-lemma drop_O1_inj: â\88\80i,L1,L2,K. â\87©[i] L1 â\89¡ K â\86\92 â\87©[i] L2 ≡ K → L1 ⩬[i, ∞] L2.
+lemma drop_O1_inj: â\88\80i,L1,L2,K. â¬\87[i] L1 â\89¡ K â\86\92 â¬\87[i] L2 ≡ K → L1 ⩬[i, ∞] L2.
 #i @(nat_ind_plus … i) -i
 [ #L1 #L2 #K #H <(drop_inv_O2 … H) -K #H <(drop_inv_O2 … H) -L1 //
 | #i #IHi * [2: #L1 #I1 #V1 ] * [2,4: #L2 #I2 #V2 ] #K #HLK1 #HLK2 //