update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / lsubv_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv_drops.ma
index 90b59cba0bafca1100c0c9450418c601c4110973..ac7e5430e45ec273188e42596a373a7b2a68f75c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv_drops.ma
@@ -19,13 +19,13 @@ include "basic_2/dynamic/lsubv.ma".
 
 (* Properties with generic slicing for local environments *******************)
 
-(* Note: the premise ð\9d\90\94â¦\83fâ¦\84 cannot be removed *)
+(* Note: the premise ð\9d\90\94â\9dªfâ\9d« cannot be removed *)
 (* Basic_2A1: includes: lsubsv_drop_O1_conf *)
-lemma lsubv_drops_conf_isuni (a) (h) (G):
-                             ∀L1,L2. G ⊢ L1 ⫃![a,h] L2 →
-                             ∀b,f,K1. 𝐔⦃f⦄ → ⬇*[b,f] L1 ≘ K1 →
-                             ∃∃K2. G ⊢ K1 ⫃![a,h] K2 & ⬇*[b,f] L2 ≘ K2.
-#a #h #G #L1 #L2 #H elim H -L1 -L2
+lemma lsubv_drops_conf_isuni (h) (a) (G):
+      ∀L1,L2. G ⊢ L1 ⫃![h,a] L2 →
+      ∀b,f,K1. 𝐔❪f❫ → ⇩*[b,f] L1 ≘ K1 →
+      ∃∃K2. G ⊢ K1 ⫃![h,a] K2 & ⇩*[b,f] L2 ≘ K2.
+#h #a #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
 | #I #L1 #L2 #HL12 #IH #b #f #K1 #Hf #H
   elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
@@ -34,7 +34,7 @@ lemma lsubv_drops_conf_isuni (a) (h) (G):
   | #g #Hg #HLK1 #H destruct -HL12
     elim (IH … Hg HLK1) -L1 -Hg /3 width=3 by drops_drop, ex2_intro/
   ]
-| #L1 #L2 #W #V #HVW #HW #HL12 #IH #b #f #K1 #Hf #H
+| #L1 #L2 #W #V #HVW #HL12 #IH #b #f #K1 #Hf #H
   elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
   [ #Hf #H destruct -IH
     /3 width=3 by drops_refl, lsubv_beta, ex2_intro/
@@ -44,13 +44,13 @@ lemma lsubv_drops_conf_isuni (a) (h) (G):
 ]
 qed-.
 
-(* Note: the premise ð\9d\90\94â¦\83fâ¦\84 cannot be removed *)
+(* Note: the premise ð\9d\90\94â\9dªfâ\9d« cannot be removed *)
 (* Basic_2A1: includes: lsubsv_drop_O1_trans *)
-lemma lsubv_drops_trans_isuni (a) (h) (G):
-                              ∀L1,L2. G ⊢ L1 ⫃![a,h] L2 →
-                              ∀b,f,K2. 𝐔⦃f⦄ → ⬇*[b,f] L2 ≘ K2 →
-                              ∃∃K1. G ⊢ K1 ⫃![a,h] K2 & ⬇*[b,f] L1 ≘ K1.
-#a #h #G #L1 #L2 #H elim H -L1 -L2
+lemma lsubv_drops_trans_isuni (h) (a) (G):
+      ∀L1,L2. G ⊢ L1 ⫃![h,a] L2 →
+      ∀b,f,K2. 𝐔❪f❫ → ⇩*[b,f] L2 ≘ K2 →
+      ∃∃K1. G ⊢ K1 ⫃![h,a] K2 & ⇩*[b,f] L1 ≘ K1.
+#h #a #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
 | #I #L1 #L2 #HL12 #IH #b #f #K2 #Hf #H
   elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
@@ -59,7 +59,7 @@ lemma lsubv_drops_trans_isuni (a) (h) (G):
   | #g #Hg #HLK2 #H destruct -HL12
     elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/
   ]
-| #L1 #L2 #W #V #HWV #HW #HL12 #IH #b #f #K2 #Hf #H
+| #L1 #L2 #W #V #HWV #HL12 #IH #b #f #K2 #Hf #H
   elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
   [ #Hf #H destruct -IH
     /3 width=3 by drops_refl, lsubv_beta, ex2_intro/