]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/static_2/static/feqx_fqus.ma
decentralized notation in lambda
[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / feqx_fqus.ma
index f929f33b709111bee3796a71917a3fa7ce96381a..0b370bd33da38eb662998067b05159dfb376e18f 100644 (file)
@@ -19,13 +19,14 @@ include "static_2/static/feqx.ma".
 
 (* Properties with star-iterated structural successor for closures **********)
 
-lemma feqx_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⦄ ≛ ⦃G2,L2,T2⦄.
+lemma feqx_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❫ ≛ ❪G2,L2,T2❫.
 #b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2
 elim(feqx_inv_gen_dx … H1) -H1 #HG #HL1 #HT1 destruct
 elim (reqx_fqus_trans … H2 … HL1) -L #L #T0 #H2 #HT02 #HL2
 elim (teqx_fqus_trans … H2 … HT1) -T #L0 #T #H2 #HT0 #HL0
-lapply (teqx_reqx_conf … HT02 … HL0) -HL0 #HL0
+lapply (teqx_reqx_conf_sn … HT02 … HL0) -HL0 #HL0
 /4 width=7 by feqx_intro_dx, reqx_trans, teqx_trans, ex2_3_intro/
 qed-.