some old auto yurned into autobatch

[helm.git] / matita / contribs / RELATIONAL / NLE / order.ma

diff --git a/matita/contribs/RELATIONAL/NLE/order.ma b/matita/contribs/RELATIONAL/NLE/order.ma
index 7ff57caa3e5fec2dd9b8a5ef099a6d70063f0c09..c50e7befd15b761cb0ee55035fecb7f95a2daf38 100644 (file)
--- a/matita/contribs/RELATIONAL/NLE/order.ma
+++ b/matita/contribs/RELATIONAL/NLE/order.ma
@@ -17,37 +17,37 @@ set "baseuri" "cic:/matita/RELATIONAL/NLE/order".
 include "NLE/inv.ma".
 
 theorem nle_refl: \forall x. x <= x.
- intros; elim x; clear x; auto.
+ intros; elim x; clear x; autobatch.
 qed.
 
 theorem nle_trans: \forall x,y. x <= y \to
                    \forall z. y <= z \to x <= z.
  intros 3. elim H; clear H x y;
- [ auto
+ [ autobatch
  | lapply linear nle_inv_succ_1 to H3. decompose. subst. 
-   auto
+   autobatch
  ].
 qed.
 
 theorem nle_false: \forall x,y. x <= y \to y < x \to False.
- intros 3; elim H; clear H x y; auto.
+ intros 3; elim H; clear H x y; autobatch.
 qed.
 
 theorem nle_irrefl: \forall x. x < x \to False.
- intros. auto.
+ intros. autobatch.
 qed.
 
 theorem nle_irrefl_ei: \forall x, z. z <= x \to z = succ x \to False.
- intros 3. elim H; clear H x z; subst. auto.
+ intros 3. elim H; clear H x z; subst. autobatch.
 qed.
 
 theorem nle_irrefl_smart: \forall x. x < x \to False.
- intros 1. elim x; clear x; auto.
+ intros 1. elim x; clear x; autobatch.
 qed.
 
 theorem nle_lt_or_eq: \forall y, x. x <= y \to x < y \lor x = y.
  intros. elim H; clear H x y;
  [ elim n; clear n
  | decompose
- ]; auto.
+ ]; autobatch.
 qed.