X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Freducibility%2Fcpr_cpr.ma;h=87eaa161f69c910b4fbd2f3171a275161d6f5935;hb=5ea90cbbb01fe0bf3b77221d9e6c87002982621f;hp=4fa94673eb8f97a7dcf89a9118bd3fc882fbce39;hpb=a8c166f1e1baeeae04553058bd179420ada8bbe7;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma
index 4fa94673e..87eaa161f 100644
--- a/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma
@@ -30,8 +30,8 @@ lemma cpr_bind_dx: ∀I,L,V1,V2,T1,T2. V1 ➡ V2 → L. ⓑ{I} V2 ⊢ T1 ➡ T2
                    L ⊢ ⓑ{I} V1. T1 ➡ ⓑ{I} V2. T2.
 #I #L #V1 #V2 #T1 #T2 #HV12 * #T #HT1 normalize #HT2
 elim (tpss_split_up … HT2 1 ? ?) -HT2 // #T0 <minus_n_O #HT0 normalize <minus_plus_m_m #HT02
-lapply (tpss_lsubs_conf … HT0 (⋆. ⓑ{I} V2) ?) -HT0 /2 width=1/ #HT0
-lapply (tpss_tps … HT0) -HT0 #HT0
+lapply (tpss_lsubs_trans … HT0 (⋆. ⓑ{I} V2) ?) -HT0 /2 width=1/ #HT0
+lapply (tpss_inv_SO2 … HT0) -HT0 #HT0
 @ex2_1_intro [2: @(tpr_delta … HV12 HT1 HT0) | skip | /2 width=1/ ] (**) (* /3 width=5/ is too slow *)
 qed.
 
@@ -43,7 +43,7 @@ qed.
 
 (* Advanced forward lemmas **************************************************)
 
-lemma cpr_shift_fwd: ∀L,T1,T2. L ⊢ T1 ➡ T2 → L @ T1 ➡ L @ T2.
+lemma cpr_shift_fwd: ∀L,T1,T2. L ⊢ T1 ➡ T2 → L @@ T1 ➡ L @@ T2.
 #L elim L -L
 [ #T1 #T2 #HT12 @(cpr_inv_atom … HT12)
 | normalize /3 width=1/