lapply improved

[helm.git] / helm / matita / tests / fguidi.ma

diff --git a/helm/matita/tests/fguidi.ma b/helm/matita/tests/fguidi.ma
index 88e577f13bdc7691a274812cfbeb245559b92713..a28afef8773e9b942410a03c5d846b9a3171758b 100644 (file)
--- a/helm/matita/tests/fguidi.ma
+++ b/helm/matita/tests/fguidi.ma
@@ -89,9 +89,17 @@ theorem le_gen_S_S_cc: \forall m,n. (le m n) \to (le (S m) (S n)).
 intros. auto.
 qed.
 
+(* teorema di prova che non compila per via del let *)
+theorem le_gen_S_x_2: \forall m,x. (le (S m) x) \to let k \def (S O) in
+                      (\exists n. x = (S n) \land (le m n) \land k = k).
+intros.
+lapply le_gen_S_x to H using H0. elim H0. elim H1.
+exists. exact x1. auto.
+qed.
+
 (* proof of le_gen_S_S with lapply *)
 theorem le_gen_S_S_2: \forall m,n. (le (S m) (S n)) \to (le m n).
 intros.
-lapply le_gen_S_x to H. elim Hcut1. elim H1. 
-lapply eq_gen_S_S to H2. rewrite left Hcut3. assumption.
+lapply le_gen_S_x_2 to H using H0. elim H0. elim H1. 
+lapply eq_gen_S_S to H2 using H4. rewrite left H4. assumption.
 qed.
\ No newline at end of file