- ldrop is now drop as in basic_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsubd.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsubd.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsubd.ma
index d6cf867a8d0e54700f489abced21249f84398408..abbe1b0625ebab88f2c0109227507112f9667bbc 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsubd.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsubd.ma
@@ -105,47 +105,47 @@ lemma lsubd_refl: ∀h,g,G,L. G ⊢ L ▪⫃[h, g] L.
 qed.
 
 (* Note: the constant 0 cannot be generalized *)
-lemma lsubd_ldrop_O1_conf: ∀h,g,G,L1,L2. G ⊢ L1 ▪⫃[h, g] L2 →
-                           ∀K1,s,e. ⇩[s, 0, e] L1 ≡ K1 →
-                           ∃∃K2. G ⊢ K1 ▪⫃[h, g] K2 & ⇩[s, 0, e] L2 ≡ K2.
+lemma lsubd_drop_O1_conf: ∀h,g,G,L1,L2. G ⊢ L1 ▪⫃[h, g] L2 →
+                          ∀K1,s,e. ⇩[s, 0, e] L1 ≡ K1 →
+                          ∃∃K2. G ⊢ K1 ▪⫃[h, g] K2 & ⇩[s, 0, e] L2 ≡ K2.
 #h #g #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
 | #I #L1 #L2 #V #_ #IHL12 #K1 #s #e #H
-  elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK1
+  elim (drop_inv_O1_pair1 … H) -H * #He #HLK1
   [ destruct
     elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_pair, ldrop_pair, ex2_intro/
-  | elim (IHL12 … HLK1) -L1 /3 width=3 by ldrop_drop_lt, ex2_intro/
+    <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_pair, drop_pair, ex2_intro/
+  | elim (IHL12 … HLK1) -L1 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
 | #L1 #L2 #W #V #l #HV #HW #_ #IHL12 #K1 #s #e #H
-  elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK1
+  elim (drop_inv_O1_pair1 … H) -H * #He #HLK1
   [ destruct
     elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_abbr, ldrop_pair, ex2_intro/
-  | elim (IHL12 … HLK1) -L1 /3 width=3 by ldrop_drop_lt, ex2_intro/
+    <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_abbr, drop_pair, ex2_intro/
+  | elim (IHL12 … HLK1) -L1 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
 ]
 qed-.
 
 (* Note: the constant 0 cannot be generalized *)
-lemma lsubd_ldrop_O1_trans: ∀h,g,G,L1,L2. G ⊢ L1 ▪⫃[h, g] L2 →
-                            ∀K2,s,e. ⇩[s, 0, e] L2 ≡ K2 →
-                            ∃∃K1. G ⊢ K1 ▪⫃[h, g] K2 & ⇩[s, 0, e] L1 ≡ K1.
+lemma lsubd_drop_O1_trans: ∀h,g,G,L1,L2. G ⊢ L1 ▪⫃[h, g] L2 →
+                           ∀K2,s,e. ⇩[s, 0, e] L2 ≡ K2 →
+                           ∃∃K1. G ⊢ K1 ▪⫃[h, g] K2 & ⇩[s, 0, e] L1 ≡ K1.
 #h #g #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
 | #I #L1 #L2 #V #_ #IHL12 #K2 #s #e #H
-  elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK2
+  elim (drop_inv_O1_pair1 … H) -H * #He #HLK2
   [ destruct
     elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_pair, ldrop_pair, ex2_intro/
-  | elim (IHL12 … HLK2) -L2 /3 width=3 by ldrop_drop_lt, ex2_intro/
+    <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_pair, drop_pair, ex2_intro/
+  | elim (IHL12 … HLK2) -L2 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
 | #L1 #L2 #W #V #l #HV #HW #_ #IHL12 #K2 #s #e #H
-  elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK2
+  elim (drop_inv_O1_pair1 … H) -H * #He #HLK2
   [ destruct
     elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_abbr, ldrop_pair, ex2_intro/
-  | elim (IHL12 … HLK2) -L2 /3 width=3 by ldrop_drop_lt, ex2_intro/
+    <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsubd_abbr, drop_pair, ex2_intro/
+  | elim (IHL12 … HLK2) -L2 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
 ]
 qed-.