[ #Y2 #H >(length_inv_zero_sn … H) -Y2 //
| #L1 #I1 #IH #Y2 #H #f
elim (length_inv_succ_sn … H) -H #I2 #L2 #HL12 #H destruct
- elim (pn_split f) * #g #H destruct /3 width=1 by sex_next, sex_push/
+ elim (pr_map_split_tl f) * #g #H destruct /3 width=1 by sex_next, sex_push/
]
qed.
[ #Y2 #H >(length_inv_zero_sn … H) -Y2 //
| #L1 #I1 #IH #Y2 #H #f #Hf
elim (length_inv_succ_sn … H) -H #I2 #L2 #HL12 #H destruct
- elim (isid_inv_gen … Hf) -Hf #g #Hg #H destruct /3 width=1 by sex_push/
+ elim (pr_isi_inv_gen … Hf) -Hf #g #Hg #H destruct /3 width=1 by sex_push/
]
qed.