(* Properties on context-sensitive parallel computation for terms ***********)
lemma lprs_cpr_trans: ∀G. b_c_transitive … (cpr G) (λ_. lprs G).
-/3 width=5 by b_c_trans_LTC2, lpr_cprs_trans/ qed-.
+/3 width=5 by b_c_trans_CTC2, lpr_cprs_trans/ qed-.
(* Basic_1: was just: pr3_pr3_pr3_t *)
-(* Note: alternative proof /3 width=5 by s_r_trans_LTC1, lprs_cpr_trans/ *)
+(* Note: alternative proof /3 width=5 by s_r_trans_CTC1, lprs_cpr_trans/ *)
lemma lprs_cprs_trans: ∀G. b_rs_transitive … (cpr G) (λ_. lprs G).
-#G @b_c_to_b_rs_trans @b_c_trans_LTC2
+#G @b_c_to_b_rs_trans @b_c_trans_CTC2
@b_rs_trans_TC1 /2 width=3 by lpr_cprs_trans/ (**) (* full auto too slow *)
qed-.
∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ➡* V2 & ⦃G, L.ⓓV1⦄ ⊢ T1 ➡* T2 &
U2 = ⓓ{a}V2.T2
) ∨
- â\88\83â\88\83T2. â¦\83G, L.â\93\93V1â¦\84 â\8a¢ T1 â\9e¡* T2 & â¬\86[0, 1] U2 â\89¡ T2 & a = true.
+ â\88\83â\88\83T2. â¦\83G, L.â\93\93V1â¦\84 â\8a¢ T1 â\9e¡* T2 & â¬\86[0, 1] U2 â\89\98 T2 & a = true.
#a #G #L #V1 #T1 #U2 #H @(cprs_ind … H) -U2 /3 width=5 by ex3_2_intro, or_introl/
#U0 #U2 #_ #HU02 * *
[ #V0 #T0 #HV10 #HT10 #H destruct