update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_1/csubv/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1/csubv/fwd.ma
index f1c483123b056164d904a4f0703e843ebc7bcbf9..23883b41203a8d572591bafc20695d790d90010d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_1/csubv/fwd.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/csubv/fwd.ma
@@ -16,19 +16,20 @@
 
 include "basic_1/csubv/defs.ma".
 
-let rec csubv_ind (P: (C \to (C \to Prop))) (f: (\forall (n: nat).(P (CSort 
-n) (CSort n)))) (f0: (\forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to ((P 
-c1 c2) \to (\forall (v1: T).(\forall (v2: T).(P (CHead c1 (Bind Void) v1) 
-(CHead c2 (Bind Void) v2))))))))) (f1: (\forall (c1: C).(\forall (c2: 
-C).((csubv c1 c2) \to ((P c1 c2) \to (\forall (b1: B).((not (eq B b1 Void)) 
-\to (\forall (b2: B).(\forall (v1: T).(\forall (v2: T).(P (CHead c1 (Bind b1) 
-v1) (CHead c2 (Bind b2) v2)))))))))))) (f2: (\forall (c1: C).(\forall (c2: 
-C).((csubv c1 c2) \to ((P c1 c2) \to (\forall (f2: F).(\forall (f3: 
-F).(\forall (v1: T).(\forall (v2: T).(P (CHead c1 (Flat f2) v1) (CHead c2 
-(Flat f3) v2))))))))))) (c: C) (c0: C) (c1: csubv c c0) on c1: P c c0 \def 
-match c1 with [(csubv_sort n) \Rightarrow (f n) | (csubv_void c2 c3 c4 v1 v2) 
-\Rightarrow (f0 c2 c3 c4 ((csubv_ind P f f0 f1 f2) c2 c3 c4) v1 v2) | 
-(csubv_bind c2 c3 c4 b1 n b2 v1 v2) \Rightarrow (f1 c2 c3 c4 ((csubv_ind P f 
-f0 f1 f2) c2 c3 c4) b1 n b2 v1 v2) | (csubv_flat c2 c3 c4 f3 f4 v1 v2) 
-\Rightarrow (f2 c2 c3 c4 ((csubv_ind P f f0 f1 f2) c2 c3 c4) f3 f4 v1 v2)].
+implied rec lemma csubv_ind (P: (C \to (C \to Prop))) (f: (\forall (n: 
+nat).(P (CSort n) (CSort n)))) (f0: (\forall (c1: C).(\forall (c2: C).((csubv 
+c1 c2) \to ((P c1 c2) \to (\forall (v1: T).(\forall (v2: T).(P (CHead c1 
+(Bind Void) v1) (CHead c2 (Bind Void) v2))))))))) (f1: (\forall (c1: 
+C).(\forall (c2: C).((csubv c1 c2) \to ((P c1 c2) \to (\forall (b1: B).((not 
+(eq B b1 Void)) \to (\forall (b2: B).(\forall (v1: T).(\forall (v2: T).(P 
+(CHead c1 (Bind b1) v1) (CHead c2 (Bind b2) v2)))))))))))) (f2: (\forall (c1: 
+C).(\forall (c2: C).((csubv c1 c2) \to ((P c1 c2) \to (\forall (f2: 
+F).(\forall (f3: F).(\forall (v1: T).(\forall (v2: T).(P (CHead c1 (Flat f2) 
+v1) (CHead c2 (Flat f3) v2))))))))))) (c: C) (c0: C) (c1: csubv c c0) on c1: 
+P c c0 \def match c1 with [(csubv_sort n) \Rightarrow (f n) | (csubv_void c2 
+c3 c4 v1 v2) \Rightarrow (f0 c2 c3 c4 ((csubv_ind P f f0 f1 f2) c2 c3 c4) v1 
+v2) | (csubv_bind c2 c3 c4 b1 n b2 v1 v2) \Rightarrow (f1 c2 c3 c4 
+((csubv_ind P f f0 f1 f2) c2 c3 c4) b1 n b2 v1 v2) | (csubv_flat c2 c3 c4 f3 
+f4 v1 v2) \Rightarrow (f2 c2 c3 c4 ((csubv_ind P f f0 f1 f2) c2 c3 c4) f3 f4 
+v1 v2)].