d_liftable2_sn … lifts R → dedropable_sn R.
#R #H1R #H2R #b #f #L1 #K1 #HLK1 #K2 * #f1 #Hf1 #HK12
elim (sex_liftable_co_dedropable_sn … HLK1 … HK12) -K1
-/3 width=6 by cext2_d_liftable2_sn, cfull_lift_sn, ext2_refl, coafter_isid_dx, ex3_intro, ex2_intro/
+/3 width=6 by cext2_d_liftable2_sn, cfull_lift_sn, ext2_refl, pr_coafter_isi_dx, ex3_intro, ex2_intro/
qed-.
(* Inversion lemmas with generic extension **********************************)
lemma lex_dropable_sn (R): dropable_sn R.
#R #b #f #L1 #K1 #HLK1 #H1f #L2 * #f2 #Hf2 #HL12
elim (sex_co_dropable_sn … HLK1 … HL12) -L1
-/3 width=3 by coafter_isid_dx, ex2_intro/
+/3 width=3 by pr_coafter_isi_dx, ex2_intro/
qed-.
(* Basic_2A1: was: lpx_sn_dropable *)
lemma lex_dropable_dx (R): dropable_dx R.
#R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #K2 #HLK2 #Hf
elim (sex_co_dropable_dx … HL12 … HLK2) -L2
-/3 width=5 by coafter_isid_dx, ex2_intro/
+/3 width=5 by pr_coafter_isi_dx, ex2_intro/
qed-.
(* Basic_2A1: includes: lpx_sn_drop_conf *)
[ #Z2 #K2 #HLK2 #HK12 #H
elim (ext2_inv_pair_sn … H) -H #V2 #HV12 #H destruct
/3 width=5 by ex3_2_intro, ex2_intro/
-| /3 width=3 by coafter_isid_dx, isid_push/
+| /3 width=3 by pr_coafter_isi_dx, pr_isi_push/
]
qed-.
[ #Z1 #K1 #HLK1 #HK12 #H
elim (ext2_inv_pair_dx … H) -H #V1 #HV12 #H destruct
/3 width=5 by ex3_2_intro, ex2_intro/
-| /3 width=3 by coafter_isid_dx, isid_push/
+| /3 width=3 by pr_coafter_isi_dx, pr_isi_push/
]
qed-.