include "basic_2/rt_transition/cpx_drops.ma".
include "basic_2/rt_transition/lfpx.ma".
-(* UNCOUNTED PARALLEL RT-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES *****)
+(* UNBOUND PARALLEL RT-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES *******)
(* Properties with generic slicing for local environments *******************)
lemma lfpx_drops_trans: ∀h,G. dropable_dx (cpx h G).
/2 width=5 by lfxs_dropable_dx/ qed-.
-lemma lfpx_inv_lref_pair_sn: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â¬\88[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 lfpx_inv_lref_pair_sn: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â¬\88[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 lfpx_inv_lref_pair_dx: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â¬\88[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 lfpx_inv_lref_pair_dx: â\88\80h,G,L1,L2,i. â¦\83G, L1â¦\84 â\8a¢ â¬\88[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-.