(* Properties with supclosure ***********************************************)
(* Basic_2A1: uses: snv_fqu_conf *)
-lemma cnv_fqu_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\8a\90 ⦃G2,L2,T2⦄ →
+lemma cnv_fqu_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82 ⦃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
[ #I1 #G1 #L1 #V1 #H
| 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
qed-.
(* Basic_2A1: uses: snv_fquq_conf *)
-lemma cnv_fquq_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\8a\90⸮ ⦃G2,L2,T2⦄ →
+lemma cnv_fquq_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82⸮ ⦃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 [|*]
/2 width=5 by cnv_fqu_conf/
qed-.
(* Basic_2A1: uses: snv_fqup_conf *)
-lemma cnv_fqup_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\8a\90+ ⦃G2,L2,T2⦄ →
+lemma cnv_fqup_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82+ ⦃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
/3 width=5 by fqup_strap1, cnv_fqu_conf/
qed-.
(* Basic_2A1: uses: snv_fqus_conf *)
-lemma cnv_fqus_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\8a\90* ⦃G2,L2,T2⦄ →
+lemma cnv_fqus_conf (a) (h): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82* ⦃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 [|*]
/2 width=5 by cnv_fqup_conf/