- new tactic subst removes simple non recursive equalities from the context

[helm.git] / helm / software / matita / contribs / RELATIONAL / NLE / fwd.ma

diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/fwd.ma b/helm/software/matita/contribs/RELATIONAL/NLE/fwd.ma
index 19ad50b9b2aa7c11cae590a0f3ec987ec194e96d..6a78e0aac788bce7a77661c3bc93b213fec70b3b 100644 (file)
--- a/helm/software/matita/contribs/RELATIONAL/NLE/fwd.ma
+++ b/helm/software/matita/contribs/RELATIONAL/NLE/fwd.ma
@@ -24,7 +24,7 @@ theorem nle_gen_succ_1: \forall x,y. x < y \to
  intros. inversion H; clear H; intros;
  [ apply (eq_gen_succ_zero ? ? H)
  | lapply linear eq_gen_succ_succ to H2 as H0.
-   rewrite > H0. clear H0.
+   subst.
    apply ex_intro; [|auto] (**)
  ].
 qed.
@@ -34,8 +34,7 @@ theorem nle_gen_succ_succ: \forall x,y. x < succ y \to x <= y.
  [ apply (eq_gen_succ_zero ? ? H)
  | lapply linear eq_gen_succ_succ to H2 as H0.
    lapply linear eq_gen_succ_succ to H3 as H2.
-   rewrite > H0. rewrite > H2. clear H0 H2.
-   auto
+   subst. auto
  ].
 qed.