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))))])).
+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)))))))))])).