interpretation "parallel computation (local environment, sn variant) alternative"
'PRedSnStarAlt L1 L2 = (lprsa L1 L2).
-(* Main properties on the alternative definition **********************************)
+(* Main properties on the alternative definition ****************************)
theorem lprsa_lprs: ∀L1,L2. L1 ⊢ ➡➡* L2 → L1 ⊢ ➡* L2.
/2 width=1 by lpx_sn_LTC_TC_lpx_sn/ qed-.
-(* Main inversion lemmas on the alternative definition ****************************)
+(* Main inversion lemmas on the alternative definition **********************)
theorem lprs_inv_lprsa: ∀L1,L2. L1 ⊢ ➡* L2 → L1 ⊢ ➡➡* L2.
/3 width=3 by TC_lpx_sn_inv_lpx_sn_LTC, lpr_cprs_trans/ qed-.
-(* Alternative eliminators ********************************************************)
+(* Alternative eliminators **************************************************)
lemma lprs_ind_alt: ∀R:relation lenv.
R (⋆) (⋆) → (