- predefined_virtuals: some additions

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / unfold / thin.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma
index 0b4da98f9532e57c16a84e7125c70cbe22df7d0f..c86d9b16066cd256315e5faf7fe9bca32f1813f5 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin.ma
@@ -14,12 +14,24 @@
 
 include "basic_2/unfold/ltpss.ma".
 
-(* DELIFT ON LOCAL ENVIRONMENTS  ********************************************)
+(* BASIC LOCAL ENVIRONMENT THINNING *****************************************)
 
 definition thin: nat → nat → relation lenv ≝
-                 λd,e,L1,L2. ∃∃L. L1 [d, e] ▶* L & ⇩[d, e] L ≡ L2.
+                 λd,e,L1,L2. ∃∃L. L1 ▶* [d, e] L & ⇩[d, e] L ≡ L2.
 
-interpretation "delift (local environment)"
+interpretation "basic thinning (local environment)"
    'TSubst L1 d e L2 = (thin d e L1 L2).
 
 (* Basic properties *********************************************************)
+
+lemma ldrop_thin: ∀L1,L2,d,e. ⇩[d, e] L1 ≡ L2 → L1 ▼*[d, e] ≡ L2.
+/2 width=3/ qed.
+
+(* Basic inversion lemmas ***************************************************)
+
+lemma thin_inv_thin1: ∀I,K1,V1,L2,e. K1. ⓑ{I} V1 ▼*[0, e] ≡ L2 → 0 < e →
+                      K1 ▼*[0, e - 1] ≡ L2.
+#I #K1 #V1 #L2 #e * #X #HK1 #HL2 #e
+elim (ltpss_inv_tpss21 … HK1 ?) -HK1 // #K #V #HK1 #_ #H destruct
+lapply (ldrop_inv_ldrop1 … HL2 ?) -HL2 // /2 width=3/
+qed-.