some renaming and some typos corrected ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / lsubc_drop.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma
index 6aa0c01171f22bddb1d2a99e6df45d68def3e416..5f75a2d9b316f960fdb8324fa0c8a693cd262e3d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_drop.ma
@@ -34,7 +34,7 @@ lemma lsubc_drop_O1_trans: ∀RP,G,L1,L2. G ⊢ L1 ⫃[RP] L2 → ∀K2,s,e. ⇩
 | #L1 #L2 #V #W #A #HV #H1W #H2W #_ #IHL12 #X #s #e #H
   elim (drop_inv_O1_pair1 … H) -H * #He #H destruct
   [ elim (IHL12 L2 s 0) -IHL12 // #X #H <(drop_inv_O2 … H) -H
-    /3 width=8 by lsubc_abbr, drop_pair, ex2_intro/
+    /3 width=8 by lsubc_beta, drop_pair, ex2_intro/
   | elim (IHL12 … H) -L2 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
 ]
@@ -52,7 +52,7 @@ lemma drop_lsubc_trans: ∀RR,RS,RP.
   elim (lsubc_inv_pair1 … H) -H *
   [ #K1 #HLK1 #H destruct /3 width=3 by lsubc_pair, drop_pair, ex2_intro/
   | #K1 #V #W1 #A #HV1 #H1W1 #H2W1 #HLK1 #H1 #H2 #H3 destruct
-    /3 width=4 by lsubc_abbr, drop_pair, ex2_intro/
+    /3 width=4 by lsubc_beta, drop_pair, ex2_intro/
   ]
 | #I #L1 #K1 #V1 #e #_ #IHLK1 #K2 #HK12
   elim (IHLK1 … HK12) -K1 /3 width=5 by lsubc_pair, drop_drop, ex2_intro/
@@ -66,7 +66,7 @@ lemma drop_lsubc_trans: ∀RR,RS,RP.
     lapply (aacr_acr … Hacp Hacr A) -Hacp -Hacr #HA
     lapply (s0 … HA … HV2 … HLK1 HV3) -HV2
     lapply (s0 … HA … H1W2 … HLK1 HW23) -H1W2
-    /4 width=11 by lsubc_abbr, aaa_lift, drop_skip, ex2_intro/
+    /4 width=11 by lsubc_beta, aaa_lift, drop_skip, ex2_intro/
   ]
 ]
 qed-.