update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / aaa_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/aaa_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/aaa_drops.ma
index 071e044752359299b10c14a54f807487411d0f2c..866a0a528bf62fc0260430b4308dec0eab28ed31 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/aaa_drops.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/aaa_drops.ma
@@ -22,7 +22,7 @@ include "static_2/static/aaa.ma".
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: was: aaa_lref *)
-lemma aaa_lref_drops: ∀I,G,K,V,B,i,L. ⇩*[i] L ≘ K.ⓑ{I}V → ⦃G,K⦄ ⊢ V ⁝ B → ⦃G,L⦄ ⊢ #i ⁝ B.
+lemma aaa_lref_drops: ∀I,G,K,V,B,i,L. ⇩*[i] L ≘ K.ⓑ[I]V → ❪G,K❫ ⊢ V ⁝ B → ❪G,L❫ ⊢ #i ⁝ B.
 #I #G #K #V #B #i elim i -i
 [ #L #H lapply (drops_fwd_isid … H ?) -H //
   #H destruct /2 width=1 by aaa_zero/
@@ -34,8 +34,8 @@ qed.
 (* Advanced inversion lemmas ************************************************)
 
 (* Basic_2A1: was: aaa_inv_lref *)
-lemma aaa_inv_lref_drops: â\88\80G,A,i,L. â¦\83G,Lâ¦\84 ⊢ #i ⁝ A →
-                          ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ{I}V & ⦃G,K⦄ ⊢ V ⁝ A.
+lemma aaa_inv_lref_drops: â\88\80G,A,i,L. â\9dªG,Lâ\9d« ⊢ #i ⁝ A →
+                          ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ V ⁝ A.
 #G #A #i elim i -i
 [ #L #H elim (aaa_inv_zero … H) -H /3 width=5 by drops_refl, ex2_3_intro/
 | #i #IH #L #H elim (aaa_inv_lref … H) -H
@@ -44,7 +44,7 @@ lemma aaa_inv_lref_drops: ∀G,A,i,L. ⦃G,L⦄ ⊢ #i ⁝ A →
 qed-.
 
 lemma aaa_pair_inv_lref (G) (L) (i):
-      â\88\80A. â¦\83G,Lâ¦\84 â\8a¢ #i â\81\9d A â\86\92 â\88\80I,K,V. â\87©*[i] L â\89\98 K.â\93\91{I}V â\86\92 â¦\83G,Kâ¦\84 ⊢ V ⁝ A.
+      â\88\80A. â\9dªG,Lâ\9d« â\8a¢ #i â\81\9d A â\86\92 â\88\80I,K,V. â\87©*[i] L â\89\98 K.â\93\91[I]V â\86\92 â\9dªG,Kâ\9d« ⊢ V ⁝ A.
 #G #L #i #A #H #I #K #V #HLK
 elim (aaa_inv_lref_drops … H) -H #J #Y #X #HLY #HX
 lapply (drops_mono … HLY … HLK) -L -i #H destruct //
@@ -54,8 +54,8 @@ qed-.
 
 (* Basic_2A1: includes: aaa_lift *)
 (* Note: it should use drops_split_trans_pair2 *)
-lemma aaa_lifts: â\88\80G,L1,T1,A. â¦\83G,L1â¦\84 ⊢ T1 ⁝ A → ∀b,f,L2. ⇩*[b,f] L2 ≘ L1 →
-                 â\88\80T2. â\87§*[f] T1 â\89\98 T2 â\86\92 â¦\83G,L2â¦\84 ⊢ T2 ⁝ A.
+lemma aaa_lifts: â\88\80G,L1,T1,A. â\9dªG,L1â\9d« ⊢ T1 ⁝ A → ∀b,f,L2. ⇩*[b,f] L2 ≘ L1 →
+                 â\88\80T2. â\87§*[f] T1 â\89\98 T2 â\86\92 â\9dªG,L2â\9d« ⊢ T2 ⁝ A.
 @(fqup_wf_ind_eq (Ⓣ)) #G0 #L0 #T0 #IH #G #L1 * *
 [ #s #HG #HL #HT #A #H #b #f #L2 #HL21 #X #HX -b -IH
   lapply (aaa_inv_sort … H) -H #H destruct
@@ -93,8 +93,8 @@ qed-.
 (* Inversion lemmas with generic slicing for local environments *************)
 
 (* Basic_2A1: includes: aaa_inv_lift *)
-lemma aaa_inv_lifts: â\88\80G,L2,T2,A. â¦\83G,L2â¦\84 ⊢ T2 ⁝ A → ∀b,f,L1. ⇩*[b,f] L2 ≘ L1 →
-                     â\88\80T1. â\87§*[f] T1 â\89\98 T2 â\86\92 â¦\83G,L1â¦\84 ⊢ T1 ⁝ A.
+lemma aaa_inv_lifts: â\88\80G,L2,T2,A. â\9dªG,L2â\9d« ⊢ T2 ⁝ A → ∀b,f,L1. ⇩*[b,f] L2 ≘ L1 →
+                     â\88\80T1. â\87§*[f] T1 â\89\98 T2 â\86\92 â\9dªG,L1â\9d« ⊢ T1 ⁝ A.
 @(fqup_wf_ind_eq (Ⓣ)) #G0 #L0 #T0 #IH #G #L2 * *
 [ #s #HG #HL #HT #A #H #b #f #L1 #HL21 #X #HX -b -IH
   lapply (aaa_inv_sort … H) -H #H destruct
@@ -102,7 +102,7 @@ lemma aaa_inv_lifts: ∀G,L2,T2,A. ⦃G,L2⦄ ⊢ T2 ⁝ A → ∀b,f,L1. ⇩*[b
 | #i2 #HG #HL #HT #A #H #b #f #L1 #HL21 #X #HX
   elim (aaa_inv_lref_drops … H) -H #J #K2 #V2 #HLK2 #HA
   elim (lifts_inv_lref2 … HX) -HX #i1 #Hf #H destruct
-  lapply (drops_split_div â\80¦ HL21 (ð\9d\90\94â\9d´i1â\9dµ) ???) -HL21 [4: * |*: // ] #Y #HLK1 #HY
+  lapply (drops_split_div â\80¦ HL21 (ð\9d\90\94â\9d¨i1â\9d©) ???) -HL21 [4: * |*: // ] #Y #HLK1 #HY
   lapply (drops_conf … HLK2 … HY ??) -HY [1,2: /2 width=6 by after_uni_dx/ ] #HY
   lapply (drops_tls_at … Hf … HY) -HY #HY -Hf
   elim (drops_inv_skip1 … HY) -HY #Z #K1 #HK21 #HZ #H destruct