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- parallel reduction for local environments: we proved the equivalence
[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / unfold / thin.ma
index 54ec6a581e73e9b279bed41c686fb93e61d05175..65fb76fe0dc7fe77bc8f4bf930d45fdee2f44d01 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/unfold/ltpss.ma".
+include "basic_2/unfold/ltpss_sn.ma".
 
 (* BASIC LOCAL ENVIRONMENT THINNING *****************************************)
 
 definition thin: nat → nat → relation lenv ≝
-                 λd,e,L1,L2. ∃∃L. L1 ▶* [d, e] L & ⇩[d, e] L ≡ L2.
+                 Î»d,e,L1,L2. â\88\83â\88\83L. L1 â\8a¢ â\96¶* [d, e] L & â\87©[d, e] L â\89¡ L2.
 
 interpretation "basic thinning (local environment)"
    'TSubst L1 d e L2 = (thin d e L1 L2).
@@ -32,6 +32,6 @@ lemma ldrop_thin: ∀L1,L2,d,e. ⇩[d, e] L1 ≡ L2 → ▼*[d, e] L1 ≡ L2.
 lemma thin_inv_thin1: ∀I,K1,V1,L2,e. ▼*[0, e] K1.ⓑ{I} V1 ≡ L2 → 0 < e →
                       ▼*[0, e - 1] K1 ≡ L2.
 #I #K1 #V1 #L2 #e * #X #HK1 #HL2 #e
-elim (ltpss_inv_tpss21 … HK1 ?) -HK1 // #K #V #HK1 #_ #H destruct
+elim (ltpss_sn_inv_tpss21 … HK1 ?) -HK1 // #K #V #HK1 #_ #H destruct
 lapply (ldrop_inv_ldrop1 … HL2 ?) -HL2 // /2 width=3/
 qed-.