partial commit in static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / append_length.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/append_length.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/append_length.ma
index c76a2a6e7a915eaee2a0ac5e8329e8b52c685fee..2222c52ff01876cb6f2f8b675b7e587e92829352 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/append_length.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/append_length.ma
@@ -72,12 +72,12 @@ lemma append_inj_length_dx: ∀K1,K2,L1,L2. L1 + K1 = L2 + K2 → |L1| = |L2| 
 #K1 elim K1 -K1
 [ * /2 width=1 by conj/
   #K2 #I2 #L1 #L2 >append_atom >append_bind #H destruct
-  >length_bind >append_length >plus_n_Sm
-  #H elim (plus_xSy_x_false … H)
+  >length_bind >append_length >nplus_succ_dx
+  #H elim (succ_nplus_refl_sn … H)
 | #K1 #I1 #IH *
   [ #L1 #L2 >append_bind >append_atom #H destruct
-    >length_bind >append_length >plus_n_Sm #H
-    lapply (discr_plus_x_xy … H) -H #H destruct
+    >length_bind >append_length >nplus_succ_dx #H
+    lapply (nplus_refl_sn … H) -H #H destruct
   | #K2 #I2 #L1 #L2 >append_bind >append_bind #H1 #H2
     elim (destruct_lbind_lbind_aux … H1) -H1 #H1 #H3 destruct (**) (* destruct lemma needed *)
     elim (IH … H1) -IH -H1 /2 width=1 by conj/
@@ -105,7 +105,7 @@ qed-.
 (* Basic_2A1: was: lenv_ind_alt *)
 lemma lenv_ind_tail: ∀Q:predicate lenv.
                      Q (⋆) → (∀I,L. Q L → Q (ⓘ[I].L)) → ∀L. Q L.
-#Q #IH1 #IH2 #L @(f_ind … length … L) -L #x #IHx * //
+#Q #IH1 #IH2 #L @(wf1_ind_nlt … length … L) -L #x #IHx * //
 #L #I -IH1 #H destruct
 elim (lenv_case_tail … L) [2: * #K #J ]
 #H destruct /3 width=1 by/