update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_1 / pr1 / fwd.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_1/pr1/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1/pr1/fwd.ma
index 1d4dd0cfa5f29b182e7834680b4785ea86104095..8c9640c9f6c8440ab97f6e4470e352764cb6bc34 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_1/pr1/fwd.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/pr1/fwd.ma
@@ -16,9 +16,10 @@
 
 include "basic_1/pr1/defs.ma".
 
-let rec pr1_ind (P: (T \to (T \to Prop))) (f: (\forall (t: T).(P t t))) (f0: 
-(\forall (t2: T).(\forall (t1: T).((pr0 t1 t2) \to (\forall (t3: T).((pr1 t2 
-t3) \to ((P t2 t3) \to (P t1 t3)))))))) (t: T) (t0: T) (p: pr1 t t0) on p: P 
-t t0 \def match p with [(pr1_refl t1) \Rightarrow (f t1) | (pr1_sing t2 t1 p0 
-t3 p1) \Rightarrow (f0 t2 t1 p0 t3 p1 ((pr1_ind P f f0) t2 t3 p1))].
+implied rec lemma pr1_ind (P: (T \to (T \to Prop))) (f: (\forall (t: T).(P t 
+t))) (f0: (\forall (t2: T).(\forall (t1: T).((pr0 t1 t2) \to (\forall (t3: 
+T).((pr1 t2 t3) \to ((P t2 t3) \to (P t1 t3)))))))) (t: T) (t0: T) (p: pr1 t 
+t0) on p: P t t0 \def match p with [(pr1_refl t1) \Rightarrow (f t1) | 
+(pr1_sing t2 t1 p0 t3 p1) \Rightarrow (f0 t2 t1 p0 t3 p1 ((pr1_ind P f f0) t2 
+t3 p1))].