include "basic_2/static/lfxs_fqup.ma".
include "basic_2/rt_transition/lfpx.ma".
-(* UNCOUNTED PARALLEL RT-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES *****)
+(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
(* Advanced properties ******************************************************)
-(* Basic_2A1: uses: lpx_refl lpx_pair *)
lemma lfpx_refl: ∀h,G,T. reflexive … (lfpx h G T).
/2 width=1 by lfxs_refl/ qed.
-(* Basic_2A1: uses: lpx_refl lpx_pair *)
-lemma lfpx_pair: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
- ∀I,T. ⦃G, L.ⓑ{I}V1⦄ ⊢ ⬈[h, T] L.ⓑ{I}V2.
-/2 width=1 by lfxs_pair/ qed.
+lemma lfpx_pair_refl: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
+ ∀I,T. ⦃G, L.ⓑ{I}V1⦄ ⊢ ⬈[h, T] L.ⓑ{I}V2.
+/2 width=1 by lfxs_pair_refl/ qed.
(* Advanced inversion lemmas ************************************************)
lemma lfpx_inv_bind_void: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈[h, ⓑ{p,I}V.T] L2 →
- â¦\83G, L1â¦\84 â\8a¢ â¬\88[h, V] L2 â\88§ ⦃G, L1.ⓧ⦄ ⊢ ⬈[h, T] L2.ⓧ.
+ â\88§â\88§ â¦\83G, L1â¦\84 â\8a¢ â¬\88[h, V] L2 & ⦃G, L1.ⓧ⦄ ⊢ ⬈[h, T] L2.ⓧ.
/2 width=3 by lfxs_inv_bind_void/ qed-.
(* Advanced forward lemmas **************************************************)