- new component "s_transition" for the restored fqu and fquq

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma
index e1869f384adff45ed855edad6a355832d9f4d856..613a8f3210195cc5a5804db738f00a483cb48c61 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma
@@ -100,21 +100,21 @@ lemma lsuba_refl: ∀G,L. G ⊢ L ⫃⁝ L.
 qed.
 
 (* Note: the constant 0 cannot be generalized *)
-lemma lsuba_drop_O1_conf: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K1,s,m. ⬇[s, 0, m] L1 ≡ K1 →
-                          ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇[s, 0, m] L2 ≡ K2.
+lemma lsuba_drop_O1_conf: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K1,c,k. ⬇[c, 0, k] L1 ≡ K1 →
+                          ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇[c, 0, k] L2 ≡ K2.
 #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
-| #I #L1 #L2 #V #_ #IHL12 #K1 #s #m #H
+| #I #L1 #L2 #V #_ #IHL12 #K1 #c #k #H
   elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK1
   [ destruct
-    elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H
+    elim (IHL12 L1 c 0) -IHL12 // #X #HL12 #H
     <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_pair, drop_pair, ex2_intro/
   | elim (IHL12 … HLK1) -L1 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
-| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K1 #s #m #H
+| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K1 #c #k #H
   elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK1
   [ destruct
-    elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H
+    elim (IHL12 L1 c 0) -IHL12 // #X #HL12 #H
     <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_beta, drop_pair, ex2_intro/
   | elim (IHL12 … HLK1) -L1 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
@@ -122,21 +122,21 @@ lemma lsuba_drop_O1_conf: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K1,s,m. ⬇[s, 0
 qed-.
 
 (* Note: the constant 0 cannot be generalized *)
-lemma lsuba_drop_O1_trans: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K2,s,m. ⬇[s, 0, m] L2 ≡ K2 →
-                           ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇[s, 0, m] L1 ≡ K1.
+lemma lsuba_drop_O1_trans: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K2,c,k. ⬇[c, 0, k] L2 ≡ K2 →
+                           ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇[c, 0, k] L1 ≡ K1.
 #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
-| #I #L1 #L2 #V #_ #IHL12 #K2 #s #m #H
+| #I #L1 #L2 #V #_ #IHL12 #K2 #c #k #H
   elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK2
   [ destruct
-    elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H
+    elim (IHL12 L2 c 0) -IHL12 // #X #HL12 #H
     <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_pair, drop_pair, ex2_intro/
   | elim (IHL12 … HLK2) -L2 /3 width=3 by drop_drop_lt, ex2_intro/
   ]
-| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K2 #s #m #H
+| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K2 #c #k #H
   elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK2
   [ destruct
-    elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H
+    elim (IHL12 L2 c 0) -IHL12 // #X #HL12 #H
     <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_beta, drop_pair, ex2_intro/
   | elim (IHL12 … HLK2) -L2 /3 width=3 by drop_drop_lt, ex2_intro/
   ]