- bug fix in destruct

[helm.git] / matita / contribs / RELATIONAL / NPlus / fun.ma

diff --git a/matita/contribs/RELATIONAL/NPlus/fun.ma b/matita/contribs/RELATIONAL/NPlus/fun.ma
index d2d686c513831698e8859c5d64df006f3249f772..03dd7d0efd17551928787b915277bf7294adf7bc 100644 (file)
--- a/matita/contribs/RELATIONAL/NPlus/fun.ma
+++ b/matita/contribs/RELATIONAL/NPlus/fun.ma
@@ -20,21 +20,21 @@ include "NPlus/inv.ma".
 
 theorem nplus_total: \forall p,q. \exists r. p + q == r.
  intros 2. elim q; clear q;
- [ auto | decompose. auto ].
+ [ autobatch | decompose. autobatch ].
 qed.
 
 theorem nplus_mono: \forall p,q,r1. (p + q == r1) \to 
                     \forall r2. (p + q == r2) \to r1 = r2.
  intros 4. elim H; clear H q r1;
- [ lapply linear nplus_gen_zero_2 to H1
- | lapply linear nplus_gen_succ_2 to H3. decompose
- ]; subst; auto.
+ [ lapply linear nplus_inv_zero_2 to H1
+ | lapply linear nplus_inv_succ_2 to H3. decompose
+ ]; destruct; autobatch.
 qed.
 
 theorem nplus_inj_1: \forall p1, q, r. (p1 + q == r) \to
                      \forall p2. (p2 + q == r) \to p2 = p1.
  intros 4. elim H; clear H q r;
- [ lapply linear nplus_gen_zero_2 to H1
- | lapply linear nplus_gen_succ_2_3 to H3
- ]; auto.
+ [ lapply linear nplus_inv_zero_2 to H1
+ | lapply linear nplus_inv_succ_2_3 to H3
+ ]; autobatch.
 qed.