(* Properties on pointwise extensions ***************************************)
-lemma lpx_sn_llpx_sn: ∀R. (∀I,L. reflexive … (R I L)) →
+lemma lpx_sn_llpx_sn: ∀R. (∀L. reflexive … (R L)) →
∀T,L1,L2,d. lpx_sn R L1 L2 → llpx_sn R d T L1 L2.
#R #HR #T #L1 @(f2_ind … rfw … L1 T) -L1 -T
#n #IH #L1 * *
[2: -IH /4 width=4 by lpx_sn_fwd_length, llpx_sn_free, le_repl_sn_conf_aux/ ]
#Hi #Hn #L2 #d elim (ylt_split i d)
[ -n /3 width=2 by llpx_sn_skip, lpx_sn_fwd_length/ ]
- #Hdi #HL12 elim (ldrop_O1_lt L1 i) //
+ #Hdi #HL12 elim (ldrop_O1_lt (Ⓕ) L1 i) //
#I #K1 #V1 #HLK1 elim (lpx_sn_ldrop_conf … HL12 … HLK1) -HL12
/4 width=9 by llpx_sn_lref, ldrop_fwd_rfw/
| -HR -IH /4 width=2 by lpx_sn_fwd_length, llpx_sn_gref/