(* "BIG TREE" PARALLEL REDUCTION FOR CLOSURES *******************************)
inductive fpb (h) (g) (G1) (L1) (T1): relation3 genv lenv term ≝
| fpb_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊃⸮ ⦃G2, L2, T2⦄ → fpb h g G1 L1 T1 G2 L2 T2
| fpb_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, g] T2 → fpb h g G1 L1 T1 G1 L1 T2
(* "BIG TREE" PARALLEL REDUCTION FOR CLOSURES *******************************)
inductive fpb (h) (g) (G1) (L1) (T1): relation3 genv lenv term ≝
| fpb_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊃⸮ ⦃G2, L2, T2⦄ → fpb h g G1 L1 T1 G2 L2 T2
| fpb_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, g] T2 → fpb h g G1 L1 T1 G1 L1 T2