- â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82 â¦\83G2,L2,T2â¦\84 →
- â¦\83G1,L1â¦\84 â\8a¢ T1 ![h,a] â\86\92 â¦\83G2,L2â¦\84 ⊢ T2 ![h,a].
+ â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82 â\9d¨G2,L2,T2â\9d© →
+ â\9d¨G1,L1â\9d© â\8a¢ T1 ![h,a] â\86\92 â\9d¨G2,L2â\9d© ⊢ 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 //
#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 //
/4 width=7 by cnv_inv_lifts, drops_refl, drops_drop/
]
qed-.
(* Basic_2A1: uses: snv_fquq_conf *)
lemma cnv_fquq_conf (h) (a):
/4 width=7 by cnv_inv_lifts, drops_refl, drops_drop/
]
qed-.
(* Basic_2A1: uses: snv_fquq_conf *)
lemma cnv_fquq_conf (h) (a):
- â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82⸮ â¦\83G2,L2,T2â¦\84 →
- â¦\83G1,L1â¦\84 â\8a¢ T1 ![h,a] â\86\92 â¦\83G2,L2â¦\84 ⊢ T2 ![h,a].
+ â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82⸮ â\9d¨G2,L2,T2â\9d© →
+ â\9d¨G1,L1â\9d© â\8a¢ T1 ![h,a] â\86\92 â\9d¨G2,L2â\9d© ⊢ 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 (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 (h) (a):
- â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82+ â¦\83G2,L2,T2â¦\84 →
- â¦\83G1,L1â¦\84 â\8a¢ T1 ![h,a] â\86\92 â¦\83G2,L2â¦\84 ⊢ T2 ![h,a].
+ â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82+ â\9d¨G2,L2,T2â\9d© →
+ â\9d¨G1,L1â\9d© â\8a¢ T1 ![h,a] â\86\92 â\9d¨G2,L2â\9d© ⊢ 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 (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 (h) (a):
- â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82* â¦\83G2,L2,T2â¦\84 →
- â¦\83G1,L1â¦\84 â\8a¢ T1 ![h,a] â\86\92 â¦\83G2,L2â¦\84 ⊢ T2 ![h,a].
+ â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82* â\9d¨G2,L2,T2â\9d© →
+ â\9d¨G1,L1â\9d© â\8a¢ T1 ![h,a] â\86\92 â\9d¨G2,L2â\9d© ⊢ T2 ![h,a].