update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_1 / ex0 / fwd.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_1/ex0/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1/ex0/fwd.ma
index f7ef4265b04c122a3b855e044853f1b4a18f99c5..248d07e063c5bb526b5d31235428e2b9083d4c84 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_1/ex0/fwd.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/ex0/fwd.ma
@@ -16,14 +16,13 @@
 
 include "basic_1/ex0/defs.ma".
 
-let rec leqz_ind (P: (A \to (A \to Prop))) (f: (\forall (h1: nat).(\forall 
-(h2: nat).(\forall (n1: nat).(\forall (n2: nat).((eq nat (plus h1 n2) (plus 
-h2 n1)) \to (P (ASort h1 n1) (ASort h2 n2)))))))) (f0: (\forall (a1: 
-A).(\forall (a2: A).((leqz a1 a2) \to ((P a1 a2) \to (\forall (a3: 
+implied rec lemma leqz_ind (P: (A \to (A \to Prop))) (f: (\forall (h1: 
+nat).(\forall (h2: nat).(\forall (n1: nat).(\forall (n2: nat).((eq nat (plus 
+h1 n2) (plus h2 n1)) \to (P (ASort h1 n1) (ASort h2 n2)))))))) (f0: (\forall 
+(a1: A).(\forall (a2: A).((leqz a1 a2) \to ((P a1 a2) \to (\forall (a3: 
 A).(\forall (a4: A).((leqz a3 a4) \to ((P a3 a4) \to (P (AHead a1 a3) (AHead 
 a2 a4))))))))))) (a: A) (a0: A) (l: leqz a a0) on l: P a a0 \def match l with 
 [(leqz_sort h1 h2 n1 n2 e) \Rightarrow (f h1 h2 n1 n2 e) | (leqz_head a1 a2 
-l0 a3 a4 l1) \Rightarrow (let TMP_1 \def ((leqz_ind P f f0) a1 a2 l0) in (let 
-TMP_2 \def ((leqz_ind P f f0) a3 a4 l1) in (f0 a1 a2 l0 TMP_1 a3 a4 l1 
-TMP_2)))].
+l0 a3 a4 l1) \Rightarrow (f0 a1 a2 l0 ((leqz_ind P f f0) a1 a2 l0) a3 a4 l1 
+((leqz_ind P f f0) a3 a4 l1))].