- parallel reduction for local environments: we proved the equivalence

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

diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma
index 2bb20829435c1d07d6acbc793740f7b3f785fd9d..498660e1cce96750a46018f664ec731f954b0f9d 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/thin_ldrop.ma
@@ -13,7 +13,7 @@
 (**************************************************************************)
 
 include "basic_2/substitution/ldrop_ldrop.ma".
-include "basic_2/unfold/ltpss_ldrop.ma".
+include "basic_2/unfold/ltpss_sn_ldrop.ma".
 include "basic_2/unfold/thin.ma".
 
 (* BASIC LOCAL ENVIRONMENT THINNING *****************************************)
@@ -23,14 +23,14 @@ include "basic_2/unfold/thin.ma".
 lemma thin_ldrop_conf_ge: ∀L0,L1,d1,e1. ▼*[d1, e1] L0 ≡ L1 →
                           ∀L2,e2. ⇩[0, e2] L0 ≡ L2 →
                           d1 + e1 ≤ e2 → ⇩[0, e2 - e1] L1 ≡ L2.
-#L0 #L1 #d1 #e1 * /3 width=8 by ltpss_ldrop_conf_ge, ldrop_conf_ge/
+#L0 #L1 #d1 #e1 * /3 width=8 by ltpss_sn_ldrop_conf_ge, ldrop_conf_ge/
 qed.
 
 lemma thin_ldrop_conf_be: ∀L0,L1,d1,e1. ▼*[d1, e1] L0 ≡ L1 →
                           ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → d1 ≤ e2 → e2 ≤ d1 + e1 →
                           ∃∃L. ▼*[0, d1 + e1 - e2] L2 ≡ L & ⇩[0, d1] L1 ≡ L.
 #L0 #L1 #d1 #e1 * #L #HL0 #HL1 #L2 #e2 #HL02 #Hd1e2 #He2de1
-elim (ltpss_ldrop_conf_be … HL0 … HL02 ? ?) -L0 // #L0 #HL20 #HL0
+elim (ltpss_sn_ldrop_conf_be … HL0 … HL02 ? ?) -L0 // #L0 #HL20 #HL0
 elim (ldrop_conf_be … HL1 … HL0 ? ?) -L // -Hd1e2 -He2de1 /3 width=3/
 qed.
 
@@ -38,7 +38,7 @@ lemma thin_ldrop_conf_le: ∀L0,L1,d1,e1. ▼*[d1, e1] L0 ≡ L1 →
                           ∀L2,e2. ⇩[0, e2] L0 ≡ L2 → e2 ≤ d1 →
                           ∃∃L. ▼*[d1 - e2, e1] L2 ≡ L & ⇩[0, e2] L1 ≡ L.
 #L0 #L1 #d1 #e1 * #L #HL0 #HL1 #L2 #e2 #HL02 #He2d1
-elim (ltpss_ldrop_conf_le … HL0 … HL02 ?) -L0 // #L0 #HL20 #HL0
+elim (ltpss_sn_ldrop_conf_le … HL0 … HL02 ?) -L0 // #L0 #HL20 #HL0
 elim (ldrop_conf_le … HL1 … HL0 ?) -L // -He2d1 /3 width=3/
 qed.
 
@@ -47,7 +47,7 @@ lemma thin_ldrop_trans_ge: ∀L1,L0,d1,e1. ▼*[d1, e1] L1 ≡ L0 →
                            d1 ≤ e2 → ⇩[0, e1 + e2] L1 ≡ L2.
 #L1 #L0 #d1 #e1 * #L #HL1 #HL0 #L2 #e2 #HL02 #Hd1e2
 lapply (ldrop_trans_ge … HL0 … HL02 ?) -L0 // #HL2
-lapply (ltpss_ldrop_trans_ge … HL1 … HL2 ?) -L // /2 width=1/
+lapply (ltpss_sn_ldrop_trans_ge … HL1 … HL2 ?) -L // /2 width=1/
 qed.
 
 lemma thin_ldrop_trans_le: ∀L1,L0,d1,e1. ▼*[d1, e1] L1 ≡ L0 →
@@ -55,5 +55,5 @@ lemma thin_ldrop_trans_le: ∀L1,L0,d1,e1. ▼*[d1, e1] L1 ≡ L0 →
                            ∃∃L. ▼*[d1 - e2, e1] L ≡ L2 & ⇩[0, e2] L1 ≡ L.
 #L1 #L0 #d1 #e1 * #L #HL1 #HL0 #L2 #e2 #HL02 #He2d1
 elim (ldrop_trans_le … HL0 … HL02 He2d1) -L0 #L0 #HL0 #HL02
-elim (ltpss_ldrop_trans_le … HL1 … HL0 He2d1) -L -He2d1 /3 width=3/
+elim (ltpss_sn_ldrop_trans_le … HL1 … HL0 He2d1) -L -He2d1 /3 width=3/
 qed.