- predefined_virtuals: an addition

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / static / lsuba_ldrop.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/static/lsuba_ldrop.ma b/matita/matita/contribs/lambda_delta/basic_2/static/lsuba_ldrop.ma
index 522252ae1589a7a36c616765f1dcd833a0cfa8de..247a8b22171478097a926daf9d75d0e4a37e9756 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/static/lsuba_ldrop.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/static/lsuba_ldrop.ma
@@ -12,16 +12,15 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "Basic_2/static/lsuba.ma".
+include "basic_2/static/lsuba.ma".
 
 (* LOCAL ENVIRONMENT REFINEMENT FOR ATOMIC ARITY ASSIGNMENT *****************)
 
 (* Properties concerning basic local environment slicing ********************)
 
 (* Note: the constant 0 cannot be generalized *)
-
-lemma lsuba_ldrop_O1_conf: ∀L1,L2. L1 ÷⊑ L2 → ∀K1,e. ⇩[0, e] L1 ≡ K1 →
-                           ∃∃K2. K1 ÷⊑ K2 & ⇩[0, e] L2 ≡ K2.
+lemma lsuba_ldrop_O1_conf: ∀L1,L2. L1 ⁝⊑ L2 → ∀K1,e. ⇩[0, e] L1 ≡ K1 →
+                           ∃∃K2. K1 ⁝⊑ K2 & ⇩[0, e] L2 ≡ K2.
 #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3/
 | #I #L1 #L2 #V #_ #IHL12 #K1 #e #H
@@ -41,8 +40,9 @@ lemma lsuba_ldrop_O1_conf: ∀L1,L2. L1 ÷⊑ L2 → ∀K1,e. ⇩[0, e] L1 ≡ K
 ]
 qed-.
 
-lemma lsuba_ldrop_O1_trans: ∀L1,L2. L1 ÷⊑ L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 →
-                            ∃∃K1. K1 ÷⊑ K2 & ⇩[0, e] L1 ≡ K1.
+(* Note: the constant 0 cannot be generalized *)
+lemma lsuba_ldrop_O1_trans: ∀L1,L2. L1 ⁝⊑ L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 →
+                            ∃∃K1. K1 ⁝⊑ K2 & ⇩[0, e] L1 ≡ K1.
 #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3/
 | #I #L1 #L2 #V #_ #IHL12 #K2 #e #H