(* Basic_eliminators ********************************************************)
-fact lenv_ind_dx_aux: ∀R:predicate lenv. R ⋆ →
+fact lenv_ind_dx_aux: ∀R:predicate lenv. R (⋆) →
(∀I,L,V. R L → R (⋆.ⓑ{I}V @@ L)) →
∀d,L. |L| = d → R L.
#R #Hatom #Hpair #d @(nat_ind_plus … d) -d
]
qed-.
-lemma lenv_ind_dx: ∀R:predicate lenv. R ⋆ →
+lemma lenv_ind_dx: ∀R:predicate lenv. R (⋆) →
(∀I,L,V. R L → R (⋆.ⓑ{I}V @@ L)) →
∀L. R L.
/3 width=2 by lenv_ind_dx_aux/ qed-.