(* Properties with generic slicing for local environments *******************)
(* Basic_2A1: uses: drop_lpr_trans *)
-lemma drops_lfpr_trans: ∀h,G. dedropable_sn (cpm 0 h G).
+lemma drops_lfpr_trans: ∀h,G. dedropable_sn (λL. cpm h G L 0).
/3 width=6 by lfxs_liftable_dedropable_sn, cpm_lifts_sn/ qed-.
(* Inversion lemmas with generic slicing for local environments *************)
(* Basic_2A1: uses: lpr_drop_conf *)
-lemma lfpr_drops_conf: ∀h,G. dropable_sn (cpm 0 h G).
+lemma lfpr_drops_conf: ∀h,G. dropable_sn (λL. cpm h G L 0).
/2 width=5 by lfxs_dropable_sn/ qed-.
(* Basic_2A1: uses: lpr_drop_trans_O1 *)
-lemma lfpr_drops_trans: ∀h,G. dropable_dx (cpm 0 h G).
+lemma lfpr_drops_trans: ∀h,G. dropable_dx (λL. cpm h G L 0).
/2 width=5 by lfxs_dropable_dx/ qed-.
-lemma lfpr_inv_lref_pair_sn: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h, #i] L2 â\86\92 â\88\80I,K1,V1. â¬\87*[i] L1 â\89¡ K1.ⓑ{I}V1 →
- â\88\83â\88\83K2,V2. â¬\87*[i] L2 â\89¡ K2.ⓑ{I}V2 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
+lemma lfpr_inv_lref_pair_sn: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h, #i] L2 â\86\92 â\88\80I,K1,V1. â¬\87*[i] L1 â\89\98 K1.ⓑ{I}V1 →
+ â\88\83â\88\83K2,V2. â¬\87*[i] L2 â\89\98 K2.ⓑ{I}V2 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
/2 width=3 by lfxs_inv_lref_pair_sn/ qed-.
-lemma lfpr_inv_lref_pair_dx: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h, #i] L2 â\86\92 â\88\80I,K2,V2. â¬\87*[i] L2 â\89¡ K2.ⓑ{I}V2 →
- â\88\83â\88\83K1,V1. â¬\87*[i] L1 â\89¡ K1.ⓑ{I}V1 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
+lemma lfpr_inv_lref_pair_dx: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h, #i] L2 â\86\92 â\88\80I,K2,V2. â¬\87*[i] L2 â\89\98 K2.ⓑ{I}V2 →
+ â\88\83â\88\83K1,V1. â¬\87*[i] L1 â\89\98 K1.ⓑ{I}V1 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
/2 width=3 by lfxs_inv_lref_pair_dx/ qed-.