update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_fqus.ma

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 cb79dfcc829748fdfb8155c05826fe27675718c7..ec0549fa23574cb25a89c9626ec01eb634af0e9a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma
@@ -15,14 +15,15 @@
 include "static_2/s_computation/fqus_fqup.ma".
 include "basic_2/dynamic/cnv_drops.ma".
 
-(* CONTEXT_SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
+(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
 
 (* 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
@@ -30,35 +31,38 @@ lemma cnv_fqu_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2
   | elim (cnv_inv_appl … H) -H //
   | elim (cnv_inv_cast … H) -H //
   ]
-| #p #I1 #G1 #L1 #V1 #T1 #H
+| #p #I1 #G1 #L1 #V1 #T1 #_ #H
   elim (cnv_inv_bind … H) -H //
 | #p #I1 #G1 #L1 #V1 #T1 #H destruct
 | * #G1 #L1 #V1 #T1 #H
   [ 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-.