update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_1 / sc3 / defs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_1/sc3/defs.ma b/matita/matita/contribs/lambdadelta/basic_1/sc3/defs.ma
index 13b7cdea2e6bedca9611984b12a7175b6c680aa5..417868bc4829a8256a6a74f5a7a703ff76ed57f2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_1/sc3/defs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/sc3/defs.ma
@@ -20,13 +20,10 @@ include "basic_1/arity/defs.ma".
 
 include "basic_1/drop1/defs.ma".
 
-let rec sc3 (g: G) (a: A) on a: C \to (T \to Prop) \def \lambda (c: 
-C).(\lambda (t: T).(match a with [(ASort h n) \Rightarrow (let TMP_7 \def 
-(ASort h n) in (let TMP_8 \def (arity g c t TMP_7) in (let TMP_9 \def (sn3 c 
-t) in (land TMP_8 TMP_9)))) | (AHead a1 a2) \Rightarrow (let TMP_1 \def 
-(AHead a1 a2) in (let TMP_2 \def (arity g c t TMP_1) in (let TMP_6 \def 
-(\forall (d: C).(\forall (w: T).((sc3 g a1 d w) \to (\forall (is: 
-PList).((drop1 is d c) \to (let TMP_3 \def (Flat Appl) in (let TMP_4 \def 
-(lift1 is t) in (let TMP_5 \def (THead TMP_3 w TMP_4) in (sc3 g a2 d 
-TMP_5))))))))) in (land TMP_2 TMP_6))))])).
+rec definition sc3 (g: G) (a: A) on a: C \to (T \to Prop) \def \lambda (c: 
+C).(\lambda (t: T).(match a with [(ASort h n) \Rightarrow (land (arity g c t 
+(ASort h n)) (sn3 c t)) | (AHead a1 a2) \Rightarrow (land (arity g c t (AHead 
+a1 a2)) (\forall (d: C).(\forall (w: T).((sc3 g a1 d w) \to (\forall (is: 
+PList).((drop1 is d c) \to (sc3 g a2 d (THead (Flat Appl) w (lift1 is 
+t)))))))))])).