some renaming and a minor addition

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / csx_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lift.ma
index 3ae4bfad00628436fc8964c7ac987857879b3375..ade57bbd9271c71e32d436f19b2fe2cbb6f8db09 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_lift.ma
@@ -13,7 +13,7 @@
 (**************************************************************************)
 
 include "basic_2/reduction/cnx_lift.ma".
-include "basic_2/computation/acp.ma".
+include "basic_2/computation/gcp.ma".
 include "basic_2/computation/csx.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
@@ -48,7 +48,7 @@ lemma csx_inv_lref_bind: ∀h,g,I,G,L,K,V,i. ⇩[i] L ≡ K.ⓑ{I}V →
                          ⦃G, L⦄ ⊢ ⬊*[h, g] #i → ⦃G, K⦄ ⊢ ⬊*[h, g] V.
 #h #g #I #G #L #K #V #i #HLK #Hi
 elim (lift_total V 0 (i+1))
-/4 width=9 by csx_inv_lift, csx_cpx_trans, cpx_delta, ldrop_fwd_drop2/
+/4 width=9 by csx_inv_lift, csx_cpx_trans, cpx_delta, drop_fwd_drop2/
 qed-.
 
 (* Advanced properties ******************************************************)
@@ -60,8 +60,8 @@ lemma csx_lref_bind: ∀h,g,I,G,L,K,V,i. ⇩[i] L ≡ K.ⓑ{I}V → ⦃G, K⦄ 
 elim (cpx_inv_lref1 … H) -H
 [ #H destruct elim Hi //
 | -Hi * #I0 #K0 #V0 #V1 #HLK0 #HV01 #HV1
-  lapply (ldrop_mono … HLK0 … HLK) -HLK #H destruct
-  /3 width=8 by csx_lift, csx_cpx_trans, ldrop_fwd_drop2/
+  lapply (drop_mono … HLK0 … HLK) -HLK #H destruct
+  /3 width=8 by csx_lift, csx_cpx_trans, drop_fwd_drop2/
 ]
 qed.
 
@@ -109,11 +109,10 @@ qed-.
 
 (* Main properties **********************************************************)
 
-theorem csx_acp: ∀h,g. acp (cpx h g) (eq …) (csx h g).
-#h #g @mk_acp
-[ #G #L elim (deg_total h g 0) /3 width=8 by cnx_sort_iter, ex_intro/
-| /3 width=13 by cnx_lift/
+theorem csx_gcp: ∀h,g. gcp (cpx h g) (eq …) (csx h g).
+#h #g @mk_gcp
+[ /3 width=13 by cnx_lift/
+| #G #L elim (deg_total h g 0) /3 width=8 by cnx_sort_iter, ex_intro/
 | /2 width=3 by csx_fwd_flat_dx/
-| /2 width=1 by csx_cast/
 ]
 qed.