- ldrop is now drop as in basic_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / multiple / llpx_sn_alt.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_alt.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_alt.ma
index 247d4207d7d1d683e2c88d07f93045a3db028081..126b733215b7d363ef1094a256172b5b9cd81657 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_alt.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/llpx_sn_alt.ma
@@ -34,12 +34,12 @@ theorem llpx_sn_llpx_sn_alt: ∀R,T,L1,L2,d. llpx_sn R d T L1 L2 → llpx_sn_alt
 #I1 #I2 #K1 #K2 #V1 #V2 #i #Hdi #H #HLK1 #HLK2 elim (frees_inv … H) -H
 [ -n #HnU elim (IHU … HnU HLK1 HLK2) -IHU -HnU -HLK1 -HLK2 /2 width=1 by conj/
 | * #J1 #K10 #W10 #j #Hdj #Hji #HnU #HLK10 #HnW10 destruct
-  lapply (ldrop_fwd_drop2 … HLK10) #H
-  lapply (ldrop_conf_ge … H … HLK1 ?) -H /2 width=1 by lt_to_le/ <minus_plus #HK10
-  elim (ldrop_O1_lt (Ⓕ) L2 j) [2: <HL12 /2 width=5 by ldrop_fwd_length_lt2/ ] #J2 #K20 #W20 #HLK20
-  lapply (ldrop_fwd_drop2 … HLK20) #H
-  lapply (ldrop_conf_ge … H … HLK2 ?) -H /2 width=1 by lt_to_le/ <minus_plus #HK20
-  elim (IHn K10 W10 … K20 0) -IHn -HL12 /3 width=6 by ldrop_fwd_rfw/
+  lapply (drop_fwd_drop2 … HLK10) #H
+  lapply (drop_conf_ge … H … HLK1 ?) -H /2 width=1 by lt_to_le/ <minus_plus #HK10
+  elim (drop_O1_lt (Ⓕ) L2 j) [2: <HL12 /2 width=5 by drop_fwd_length_lt2/ ] #J2 #K20 #W20 #HLK20
+  lapply (drop_fwd_drop2 … HLK20) #H
+  lapply (drop_conf_ge … H … HLK2 ?) -H /2 width=1 by lt_to_le/ <minus_plus #HK20
+  elim (IHn K10 W10 … K20 0) -IHn -HL12 /3 width=6 by drop_fwd_rfw/
   elim (IHU … HnU HLK10 HLK20) -IHU -HnU -HLK10 -HLK20 //
 ]
 qed.
@@ -49,14 +49,14 @@ theorem llpx_sn_alt_inv_llpx_sn: ∀R,T,L1,L2,d. llpx_sn_alt R d T L1 L2 → llp
 #n #IHn #L1 #U #Hn #L2 #d * #HL12 #IHU @llpx_sn_intro_alt_r //
 #I1 #I2 #K1 #K2 #V1 #V2 #i #Hdi #HnU #HLK1 #HLK2 destruct
 elim (IHU … HLK1 HLK2) /3 width=2 by frees_eq/
-#H #HV12 @and3_intro // @IHn -IHn /3 width=6 by ldrop_fwd_rfw/
-lapply (ldrop_fwd_drop2 … HLK1) #H1
-lapply (ldrop_fwd_drop2 … HLK2) -HLK2 #H2
-@conj [ @(ldrop_fwd_length_eq1 … H1 H2) // ] -HL12
+#H #HV12 @and3_intro // @IHn -IHn /3 width=6 by drop_fwd_rfw/
+lapply (drop_fwd_drop2 … HLK1) #H1
+lapply (drop_fwd_drop2 … HLK2) -HLK2 #H2
+@conj [ @(drop_fwd_length_eq1 … H1 H2) // ] -HL12
 #Z1 #Z2 #Y1 #Y2 #X1 #X2 #j #_
 >(minus_plus_m_m j (i+1)) in ⊢ (%→?); >commutative_plus <minus_plus
 #HnV1 #HKY1 #HKY2 (**) (* full auto too slow *)
-lapply (ldrop_trans_ge … H1 … HKY1 ?) -H1 -HKY1 // #HLY1
-lapply (ldrop_trans_ge … H2 … HKY2 ?) -H2 -HKY2 // #HLY2
+lapply (drop_trans_ge … H1 … HKY1 ?) -H1 -HKY1 // #HLY1
+lapply (drop_trans_ge … H2 … HKY2 ?) -H2 -HKY2 // #HLY2
 /4 width=14 by frees_be, yle_plus_dx2_trans, yle_succ_dx/
 qed-.