include "basic_2/rt_computation/lpxs.ma".
include "basic_2/rt_computation/lfpxs.ma".
-(* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ****)
+(* UNBOUND PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ******)
-(* Properties with uncounted parallel rt-computation for local environments *)
+(* Properties with unbound parallel rt-computation for local environments ***)
lemma lfpxs_lpxs: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
/2 width=1 by tc_lfxs_lex/ qed.
lemma lfpxs_lpxs_lfeq: ∀h,G,L1,L. ⦃G, L1⦄ ⊢ ⬈*[h] L →
- â\88\80L2,T. L â\89\90[T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
+ â\88\80L2,T. L â\89¡[T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
/2 width=3 by tc_lfxs_lex_lfeq/ qed.
-(* Inversion lemmas with uncounted parallel rt-computation for local envs ***)
+(* Inversion lemmas with unbound parallel rt-computation for local envs *****)
lemma lfpxs_inv_lpxs_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 →
- â\88\83â\88\83L. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h] L & L â\89\90[T] L2.
+ â\88\83â\88\83L. â¦\83G, L1â¦\84 â\8a¢ â¬\88*[h] L & L â\89¡[T] L2.
/3 width=5 by lfpx_fsge_comp, lpx_cpxs_trans, lfeq_cpx_trans, tc_lfxs_inv_lex_lfeq/ qed-.