some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lpx_aaa.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_aaa.ma
index aaa4e94e7f0e70bb0c95dc147938a519edeee911..6e2319f19a39bbdd632deb0293bf6b74dc14b4ee 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_aaa.ma
@@ -22,9 +22,9 @@ include "basic_2/rt_transition/lpx_drops.ma".
 
 (* Note: lemma 500 *)
 (* Basic_2A1: was: cpx_lpx_aaa_conf *)
-lemma cpx_aaa_conf_lpx (h): ∀G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A →
-                            ∀T2. ⦃G, L1⦄ ⊢ T1 ⬈[h] T2 →
-                            ∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → ⦃G, L2⦄ ⊢ T2 ⁝ A.
+lemma cpx_aaa_conf_lpx (h): ∀G,L1,T1,A. ⦃G,L1⦄ ⊢ T1 ⁝ A →
+                            ∀T2. ⦃G,L1⦄ ⊢ T1 ⬈[h] T2 →
+                            ∀L2. ⦃G,L1⦄ ⊢ ⬈[h] L2 → ⦃G,L2⦄ ⊢ T2 ⁝ A.
 #h #G #L1 #T1 #A #H elim H -G -L1 -T1 -A
 [ #G #L1 #s #X #H
   elim (cpx_inv_sort1 … H) -H #H destruct //
@@ -45,8 +45,9 @@ lemma cpx_aaa_conf_lpx (h): ∀G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A →
 | #p #G #L1 #V1 #T1 #B #A #_ #_ #IHV1 #IHT1 #X #H #L2 #HL12
   elim (cpx_inv_abbr1 … H) -H *
   [ #V2 #T2 #HV12 #HT12 #H destruct /4 width=2 by lpx_pair, aaa_abbr/
-  | #T2 #HT12 #HT2 #H destruct -IHV1
-    /4 width=8 by lpx_pair, aaa_inv_lifts, drops_refl, drops_drop/
+  | #X1 #HXT1 #HX1 #H destruct -IHV1
+    elim (cpx_lifts_sn … HX1 (Ⓣ) … (L1.ⓓV1) … HXT1) -X1
+    /4 width=7 by lpx_pair, aaa_inv_lifts, drops_refl, drops_drop/
   ]
 | #p #G #L1 #V1 #T1 #B #A #_ #_ #IHV1 #IHT1 #X #H #L2 #HL12
   elim (cpx_inv_abst1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct