update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_1 / csubc / props.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_1/csubc/props.ma b/matita/matita/contribs/lambdadelta/basic_1/csubc/props.ma
index 0637a2eee33c03adb8dde7b4a154e325dc3442bc..a419bad4c7d3fc02d654599b54f53b7e8d60e21b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_1/csubc/props.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/csubc/props.ma
@@ -18,11 +18,10 @@ include "basic_1/csubc/defs.ma".
 
 include "basic_1/sc3/props.ma".
 
-theorem csubc_refl:
+lemma csubc_refl:
  \forall (g: G).(\forall (c: C).(csubc g c c))
 \def
- \lambda (g: G).(\lambda (c: C).(let TMP_1 \def (\lambda (c0: C).(csubc g c0 
-c0)) in (let TMP_2 \def (\lambda (n: nat).(csubc_sort g n)) in (let TMP_3 
-\def (\lambda (c0: C).(\lambda (H: (csubc g c0 c0)).(\lambda (k: K).(\lambda 
-(t: T).(csubc_head g c0 c0 H k t))))) in (C_ind TMP_1 TMP_2 TMP_3 c))))).
+ \lambda (g: G).(\lambda (c: C).(C_ind (\lambda (c0: C).(csubc g c0 c0)) 
+(\lambda (n: nat).(csubc_sort g n)) (\lambda (c0: C).(\lambda (H: (csubc g c0 
+c0)).(\lambda (k: K).(\lambda (t: T).(csubc_head g c0 c0 H k t))))) c)).