(* Basic properties *********************************************************)
(* Note: lemma 250 *)
-lemma lpr_refl: ∀L. L ⊢ ➡ L.
+lemma lpr_refl: ∀L. ⦃G, L⦄ ⊢ ➡ L.
/2 width=1 by lpx_sn_refl/ qed.
lemma lpr_pair: ∀I,K1,K2,V1,V2. K1 ⊢ ➡ K2 → K1 ⊢ V1 ➡ V2 →
∃∃K2,L2. K1 ⊢ ➡ K2 & L = K2 @@ L2.
/2 width=2 by lpx_sn_fwd_append1/ qed-.
-lemma lpr_fwd_append2: ∀L,K2,L2. L ⊢ ➡ K2 @@ L2 →
+lemma lpr_fwd_append2: ∀L,K2,L2. ⦃G, L⦄ ⊢ ➡ K2 @@ L2 →
∃∃K1,L1. K1 ⊢ ➡ K2 & L = K1 @@ L1.
/2 width=2 by lpx_sn_fwd_append2/ qed-.