- advances in the theory of cofrees

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cpx_llpx_sn.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_llpx_sn.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_llpx_sn.ma
index 38a83a760c01a2cff668ccb143e2d54fe98c31f8..41810649416a878f3ed38bb903f0a2fef4f5aea3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_llpx_sn.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_llpx_sn.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/llpx_sn_ldrop.ma".
+include "basic_2/substitution/llpx_sn_ldrop.ma".
 include "basic_2/reduction/cpx.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED PARALLEL REDUCTION FOR TERMS ******************)
@@ -20,9 +20,10 @@ include "basic_2/reduction/cpx.ma".
 (* Properties on lazy sn pointwise extensions *******************************)
 
 (* Note: lemma 1000 *)
-lemma llpx_sn_cpx_conf: ∀R. (∀L. reflexive … (R L)) → l_liftable R → l_deliftable_sn R →
-                        ∀h,g,G,Ls,T1,T2. ⦃G, Ls⦄ ⊢ T1 ➡[h, g] T2 →
-                        ∀Ld. llpx_sn R 0 T1 Ls Ld → llpx_sn R 0 T2 Ls Ld.
+lemma cpx_llpx_sn_conf: ∀R. (∀I,L.reflexive … (R I L)) →
+                            (∀I.l_liftable (R I)) →
+                            (∀I.l_deliftable_sn (R I)) →
+                        ∀h,g,G. s_r_confluent1 … (cpx h g G) (llpx_sn R 0).
 #R #H1R #H2R #H3R #h #g #G #Ls #T1 #T2 #H elim H -G -Ls -T1 -T2
 [ //
 | /3 width=4 by llpx_sn_fwd_length, llpx_sn_sort/