(**************************************************************************)
include "basic_2/notation/relations/predsubty_7.ma".
-include "static_2/static/fdeq.ma".
+include "static_2/static/feqx.ma".
include "static_2/s_transition/fquq.ma".
include "basic_2/rt_transition/lpr_lpx.ma".
(* Basic_2A1: includes: fleq_fpbq fpbq_lleq *)
inductive fpbq (h) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpbq_fquq: â\88\80G2,L2,T2. â¦\83G1,L1,T1â¦\84 â¬\82⸮ â¦\83G2,L2,T2â¦\84 → fpbq h G1 L1 T1 G2 L2 T2
-| fpbq_cpx : â\88\80T2. â¦\83G1,L1â¦\84 ⊢ T1 ⬈[h] T2 → fpbq h G1 L1 T1 G1 L1 T2
-| fpbq_lpx : â\88\80L2. â¦\83G1,L1â¦\84 ⊢ ⬈[h] L2 → fpbq h G1 L1 T1 G1 L2 T1
-| fpbq_fdeq: ∀G2,L2,T2. ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄ → fpbq h G1 L1 T1 G2 L2 T2
+| fpbq_fquq: â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â¬\82⸮ â\9dªG2,L2,T2â\9d« → fpbq h G1 L1 T1 G2 L2 T2
+| fpbq_cpx : â\88\80T2. â\9dªG1,L1â\9d« ⊢ T1 ⬈[h] T2 → fpbq h G1 L1 T1 G1 L1 T2
+| fpbq_lpx : â\88\80L2. â\9dªG1,L1â\9d« ⊢ ⬈[h] L2 → fpbq h G1 L1 T1 G1 L2 T1
+| fpbq_feqx: ∀G2,L2,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → fpbq h G1 L1 T1 G2 L2 T2
.
interpretation
/2 width=1 by fpbq_cpx/ qed.
(* Basic_2A1: includes: cpr_fpbq *)
-lemma cpm_fpbq (n) (h) (G) (L): â\88\80T1,T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡[n,h] T2 â\86\92 â¦\83G,L,T1â¦\84 â\89½[h] â¦\83G,L,T2â¦\84.
+lemma cpm_fpbq (n) (h) (G) (L): â\88\80T1,T2. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡[n,h] T2 â\86\92 â\9dªG,L,T1â\9d« â\89½[h] â\9dªG,L,T2â\9d«.
/3 width=2 by fpbq_cpx, cpm_fwd_cpx/ qed.
-lemma lpr_fpbq (h) (G) (T): â\88\80L1,L2. â¦\83G,L1â¦\84 â\8a¢ â\9e¡[h] L2 â\86\92 â¦\83G,L1,Tâ¦\84 â\89½[h] â¦\83G,L2,Tâ¦\84.
+lemma lpr_fpbq (h) (G) (T): â\88\80L1,L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h] L2 â\86\92 â\9dªG,L1,Tâ\9d« â\89½[h] â\9dªG,L2,Tâ\9d«.
/3 width=1 by fpbq_lpx, lpr_fwd_lpx/ qed.
(* Basic_2A1: removed theorems 2: