update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_1/csubc/getl.ma b/matita/matita/contribs/lambdadelta/basic_1/csubc/getl.ma
index 2571766a6b61c3fbae0eb7d57c189d962564ec21..869c843208ecb3b2b47c14112a9399be586b7c19 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_1/csubc/getl.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/csubc/getl.ma
@@ -18,32 +18,25 @@ include "basic_1/csubc/drop.ma".
 
 include "basic_1/csubc/clear.ma".
 
-theorem csubc_getl_conf:
+lemma csubc_getl_conf:
  \forall (g: G).(\forall (c1: C).(\forall (e1: C).(\forall (i: nat).((getl i 
 c1 e1) \to (\forall (c2: C).((csubc g c1 c2) \to (ex2 C (\lambda (e2: 
 C).(getl i c2 e2)) (\lambda (e2: C).(csubc g e1 e2)))))))))
 \def
  \lambda (g: G).(\lambda (c1: C).(\lambda (e1: C).(\lambda (i: nat).(\lambda 
 (H: (getl i c1 e1)).(\lambda (c2: C).(\lambda (H0: (csubc g c1 c2)).(let H1 
-\def (getl_gen_all c1 e1 i H) in (let TMP_1 \def (\lambda (e: C).(drop i O c1 
-e)) in (let TMP_2 \def (\lambda (e: C).(clear e e1)) in (let TMP_3 \def 
-(\lambda (e2: C).(getl i c2 e2)) in (let TMP_4 \def (\lambda (e2: C).(csubc g 
-e1 e2)) in (let TMP_5 \def (ex2 C TMP_3 TMP_4) in (let TMP_21 \def (\lambda 
-(x: C).(\lambda (H2: (drop i O c1 x)).(\lambda (H3: (clear x e1)).(let H_x 
-\def (csubc_drop_conf_O g c1 x i H2 c2 H0) in (let H4 \def H_x in (let TMP_6 
-\def (\lambda (e2: C).(drop i O c2 e2)) in (let TMP_7 \def (\lambda (e2: 
-C).(csubc g x e2)) in (let TMP_8 \def (\lambda (e2: C).(getl i c2 e2)) in 
-(let TMP_9 \def (\lambda (e2: C).(csubc g e1 e2)) in (let TMP_10 \def (ex2 C 
-TMP_8 TMP_9) in (let TMP_20 \def (\lambda (x0: C).(\lambda (H5: (drop i O c2 
-x0)).(\lambda (H6: (csubc g x x0)).(let H_x0 \def (csubc_clear_conf g x e1 H3 
-x0 H6) in (let H7 \def H_x0 in (let TMP_11 \def (\lambda (e2: C).(clear x0 
-e2)) in (let TMP_12 \def (\lambda (e2: C).(csubc g e1 e2)) in (let TMP_13 
-\def (\lambda (e2: C).(getl i c2 e2)) in (let TMP_14 \def (\lambda (e2: 
-C).(csubc g e1 e2)) in (let TMP_15 \def (ex2 C TMP_13 TMP_14) in (let TMP_19 
-\def (\lambda (x1: C).(\lambda (H8: (clear x0 x1)).(\lambda (H9: (csubc g e1 
-x1)).(let TMP_16 \def (\lambda (e2: C).(getl i c2 e2)) in (let TMP_17 \def 
-(\lambda (e2: C).(csubc g e1 e2)) in (let TMP_18 \def (getl_intro i c2 x1 x0 
-H5 H8) in (ex_intro2 C TMP_16 TMP_17 x1 TMP_18 H9))))))) in (ex2_ind C TMP_11 
-TMP_12 TMP_15 TMP_19 H7)))))))))))) in (ex2_ind C TMP_6 TMP_7 TMP_10 TMP_20 
-H4)))))))))))) in (ex2_ind C TMP_1 TMP_2 TMP_5 TMP_21 H1)))))))))))))).
+\def (getl_gen_all c1 e1 i H) in (ex2_ind C (\lambda (e: C).(drop i O c1 e)) 
+(\lambda (e: C).(clear e e1)) (ex2 C (\lambda (e2: C).(getl i c2 e2)) 
+(\lambda (e2: C).(csubc g e1 e2))) (\lambda (x: C).(\lambda (H2: (drop i O c1 
+x)).(\lambda (H3: (clear x e1)).(let H_x \def (csubc_drop_conf_O g c1 x i H2 
+c2 H0) in (let H4 \def H_x in (ex2_ind C (\lambda (e2: C).(drop i O c2 e2)) 
+(\lambda (e2: C).(csubc g x e2)) (ex2 C (\lambda (e2: C).(getl i c2 e2)) 
+(\lambda (e2: C).(csubc g e1 e2))) (\lambda (x0: C).(\lambda (H5: (drop i O 
+c2 x0)).(\lambda (H6: (csubc g x x0)).(let H_x0 \def (csubc_clear_conf g x e1 
+H3 x0 H6) in (let H7 \def H_x0 in (ex2_ind C (\lambda (e2: C).(clear x0 e2)) 
+(\lambda (e2: C).(csubc g e1 e2)) (ex2 C (\lambda (e2: C).(getl i c2 e2)) 
+(\lambda (e2: C).(csubc g e1 e2))) (\lambda (x1: C).(\lambda (H8: (clear x0 
+x1)).(\lambda (H9: (csubc g e1 x1)).(ex_intro2 C (\lambda (e2: C).(getl i c2 
+e2)) (\lambda (e2: C).(csubc g e1 e2)) x1 (getl_intro i c2 x1 x0 H5 H8) 
+H9)))) H7)))))) H4)))))) H1)))))))).