]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/static_2/static/fdeq_fqus.ma
milestone in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / fdeq_fqus.ma
index 4274cd40fc1ebc6d5d7f2d1e3479380f9fb534bf..9662b6b325895b7037e81553336ae370a441322d 100644 (file)
 include "static_2/static/rdeq_fqus.ma".
 include "static_2/static/fdeq.ma".
 
-(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
+(* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
 
 (* Properties with star-iterated structural successor for closures **********)
 
-lemma fdeq_fqus_trans: ∀h,o,b,G1,G,L1,L,T1,T. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G, L, T⦄ →
+lemma fdeq_fqus_trans: ∀b,G1,G,L1,L,T1,T. ⦃G1, L1, T1⦄ ≛ ⦃G, L, T⦄ →
                        ∀G2,L2,T2. ⦃G, L, T⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
-                       ∃∃G,L0,T0. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G, L0, T0⦄ & ⦃G, L0, T0⦄ ≛[h, o] ⦃G2, L2, T2⦄.
-#h #o #b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2
+                       ∃∃G,L0,T0. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G, L0, T0⦄ & ⦃G, L0, T0⦄ ≛ ⦃G2, L2, T2⦄.
+#b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2
 elim(fdeq_inv_gen_dx … H1) -H1 #HG #HL1 #HT1 destruct
 elim (rdeq_fqus_trans … H2 … HL1) -L #L #T0 #H2 #HT02 #HL2
 elim (tdeq_fqus_trans … H2 … HT1) -T #L0 #T #H2 #HT0 #HL0