Section ordre.
Variable A : Set.
Variable f g : A -> nat.
Definition e_lexfg (a b : A) := f a > f b \/ f a = f b /\ g a > g b.
End ordre.
Notation lexfg := (e_lexfg _) (only parsing).
(* <Warning> : Syntax is discontinued *)
Hint Resolve lexfg_systemSL.
Hint Resolve lexfg_app_l.
Hint Resolve lexfg_app_r.
Hint Resolve lexfg_lambda.

Theorem lexfg_env_t :
forall (a a' : terms) (s : sub_explicits),
e_lexfg _ (e_P1 wt) (e_P2 wt) a a' ->
e_lexfg _ (e_P1 wt) (e_P2 wt) (env a s) (env a' s).