(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS *************)
-inductive lcpr: lenv → lenv → Prop ≝
+inductive lcpr: relation lenv ≝
| lcpr_sort: lcpr (⋆) (⋆)
| lcpr_item: ∀K1,K2,I,V1,V2.
lcpr K1 K2 → K2 ⊢ V1 ⇒ V2 → lcpr (K1. 𝕓{I} V1) (K2. 𝕓{I} V2) (*𝕓*)