X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2FA%2Ffwd.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2FA%2Ffwd.ma;h=a0f6f0931217f9d175c2725dea94bbfc4ff2cb13;hb=8de8cf8adfa6fcda91047eb2c25535893ede046a;hp=c08af2080ede3a3be05aa74ab59591658493c654;hpb=d2caaf419cb6c92cb5ca8615f8eac4e12f3ab728;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_1/A/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1/A/fwd.ma
index c08af2080..a0f6f0931 100644
--- a/matita/matita/contribs/lambdadelta/basic_1/A/fwd.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/A/fwd.ma
@@ -16,13 +16,13 @@
 
 include "basic_1/A/defs.ma".
 
-let rec A_rect (P: (A \to Type[0])) (f: (\forall (n: nat).(\forall (n0: 
-nat).(P (ASort n n0))))) (f0: (\forall (a: A).((P a) \to (\forall (a0: A).((P 
-a0) \to (P (AHead a a0))))))) (a: A) on a: P a \def match a with [(ASort n 
-n0) \Rightarrow (f n n0) | (AHead a0 a1) \Rightarrow (f0 a0 ((A_rect P f f0) 
-a0) a1 ((A_rect P f f0) a1))].
+implied let rec A_rect (P: (A \to Type[0])) (f: (\forall (n: nat).(\forall 
+(n0: nat).(P (ASort n n0))))) (f0: (\forall (a: A).((P a) \to (\forall (a0: 
+A).((P a0) \to (P (AHead a a0))))))) (a: A) on a: P a \def match a with 
+[(ASort n n0) \Rightarrow (f n n0) | (AHead a0 a1) \Rightarrow (f0 a0 
+((A_rect P f f0) a0) a1 ((A_rect P f f0) a1))].
 
-theorem A_ind:
+implied lemma A_ind:
  \forall (P: ((A \to Prop))).(((\forall (n: nat).(\forall (n0: nat).(P (ASort 
 n n0))))) \to (((\forall (a: A).((P a) \to (\forall (a0: A).((P a0) \to (P 
 (AHead a a0))))))) \to (\forall (a: A).(P a))))