]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_fdeq.ma
milestone in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_fdeq.ma
index 8a5676cc062c6b26f9757f3d7bc2899a7329d626..30bbb3e75be8e17dccec8b64c444bedabb646b61 100644 (file)
@@ -17,12 +17,12 @@ include "basic_2/rt_computation/lpxs_rdeq.ma".
 
 (* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
 
-(* Properties with degree-based equivalence on closures *********************)
+(* Properties with sort-irrelevant equivalence on closures ******************)
 
-lemma fdeq_lpxs_trans (h) (o): ∀G1,G2,L1,L0,T1,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L0, T2⦄ →
-                               ∀L2. ⦃G2, L0⦄ ⊢⬈*[h] L2 →
-                               ∃∃L. ⦃G1, L1⦄ ⊢⬈*[h] L & ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
-#h #o #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
+lemma fdeq_lpxs_trans (h): ∀G1,G2,L1,L0,T1,T2. ⦃G1, L1, T1⦄ ≛ ⦃G2, L0, T2⦄ →
+                           ∀L2. ⦃G2, L0⦄ ⊢⬈*[h] L2 →
+                           ∃∃L. ⦃G1, L1⦄ ⊢⬈*[h] L & ⦃G1, L, T1⦄ ≛ ⦃G2, L2, T2⦄.
+#h #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
 elim (fdeq_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
 elim (rdeq_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
 /3 width=3 by fdeq_intro_dx, ex2_intro/