X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_fqus.ma;h=ec0549fa23574cb25a89c9626ec01eb634af0e9a;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=fbac6d7f7ce018e22a6fb8732f64ed23e8b410fc;hpb=a454837a256907d2f83d42ced7be847e10361ea9;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma
index fbac6d7f7..ec0549fa2 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma
@@ -20,9 +20,10 @@ include "basic_2/dynamic/cnv_drops.ma".
 (* Properties with supclosure ***********************************************)
 
 (* Basic_2A1: uses: snv_fqu_conf *)
-lemma cnv_fqu_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂ ⦃G2,L2,T2⦄ →
-                            ⦃G1,L1⦄ ⊢ T1 ![a,h] → ⦃G2,L2⦄ ⊢ T2 ![a,h].
-#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
+lemma cnv_fqu_conf (h) (a):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂ ❪G2,L2,T2❫ →
+      ❪G1,L1❫ ⊢ T1 ![h,a] → ❪G2,L2❫ ⊢ T2 ![h,a].
+#h #a #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 [ #I1 #G1 #L1 #V1 #H
   elim (cnv_inv_zero … H) -H #I2 #L2 #V2 #HV2 #H destruct //
 | * [ #p #I1 | * ] #G1 #L1 #V1 #T1 #H
@@ -37,28 +38,31 @@ lemma cnv_fqu_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂ ⦃G2,L2,T2
   [ elim (cnv_inv_appl … H) -H //
   | elim (cnv_inv_cast … H) -H //
   ]
-| #I1 #G1 #L1 #T1 #U1 #HTU1 #HU 
+| #I1 #G1 #L1 #T1 #U1 #HTU1 #HU
   /4 width=7 by cnv_inv_lifts, drops_refl, drops_drop/
 ]
 qed-.
 
 (* Basic_2A1: uses: snv_fquq_conf *)
-lemma cnv_fquq_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂⸮ ⦃G2,L2,T2⦄ →
-                             ⦃G1,L1⦄ ⊢ T1 ![a,h] → ⦃G2,L2⦄ ⊢ T2 ![a,h].
-#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H [|*]
+lemma cnv_fquq_conf (h) (a):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂⸮ ❪G2,L2,T2❫ →
+      ❪G1,L1❫ ⊢ T1 ![h,a] → ❪G2,L2❫ ⊢ T2 ![h,a].
+#h #a #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H [|*]
 /2 width=5 by cnv_fqu_conf/
 qed-.
 
 (* Basic_2A1: uses: snv_fqup_conf *)
-lemma cnv_fqup_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂+ ⦃G2,L2,T2⦄ →
-                             ⦃G1,L1⦄ ⊢ T1 ![a,h] → ⦃G2,L2⦄ ⊢ T2 ![a,h].
-#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
+lemma cnv_fqup_conf (h) (a):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ →
+      ❪G1,L1❫ ⊢ T1 ![h,a] → ❪G2,L2❫ ⊢ T2 ![h,a].
+#h #a #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /3 width=5 by fqup_strap1, cnv_fqu_conf/
 qed-.
 
 (* Basic_2A1: uses: snv_fqus_conf *)
-lemma cnv_fqus_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂* ⦃G2,L2,T2⦄ →
-                             ⦃G1,L1⦄ ⊢ T1 ![a,h] → ⦃G2,L2⦄ ⊢ T2 ![a,h].
-#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqus_inv_fqup … H) -H [|*]
+lemma cnv_fqus_conf (h) (a):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂* ❪G2,L2,T2❫ →
+      ❪G1,L1❫ ⊢ T1 ![h,a] → ❪G2,L2❫ ⊢ T2 ![h,a].
+#h #a #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqus_inv_fqup … H) -H [|*]
 /2 width=5 by cnv_fqup_conf/
 qed-.