theory of generic slicing almost completed ....

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / substitution / lpx_sn_lpx_sn.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/lpx_sn_lpx_sn.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/lpx_sn_lpx_sn.ma
index fe4b2b8450fe7ed8ab9499752f0bac09e645c78e..031c12c9648e65d9529e78039b2d019189f2182a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/substitution/lpx_sn_lpx_sn.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/lpx_sn_lpx_sn.ma
@@ -35,14 +35,14 @@ qed-.
 
 theorem lpx_sn_conf: ∀R1,R2. lpx_sn_confluent R1 R2 →
                      confluent2 … (lpx_sn R1) (lpx_sn R2).
-#R1 #R2 #HR12 #L0 @(f_ind … length … L0) -L0 #x #IH *
+#R1 #R2 #HR12 #L0 @(ynat_f_ind … length … L0) -L0 #x #IH *
 [ #_ #X1 #H1 #X2 #H2 -x
   >(lpx_sn_inv_atom1 … H1) -X1
   >(lpx_sn_inv_atom1 … H2) -X2 /2 width=3 by lpx_sn_atom, ex2_intro/
 | #L0 #I #V0 #Hx #X1 #H1 #X2 #H2 destruct
   elim (lpx_sn_inv_pair1 … H1) -H1 #L1 #V1 #HL01 #HV01 #H destruct
   elim (lpx_sn_inv_pair1 … H2) -H2 #L2 #V2 #HL02 #HV02 #H destruct
-  elim (IH … HL01 … HL02) -IH normalize // #L #HL1 #HL2
+  elim (IH … HL01 … HL02) -IH /2 width=2 by ylt_succ2_refl/ #L #HL1 #HL2
   elim (HR12 … HV01 … HV02 … HL01 … HL02) -L0 -V0 /3 width=5 by lpx_sn_pair, ex2_intro/
 ]
 qed-.