- we set up the support for the "bt-reduction" of Automath literature

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / computation / xprs_lift.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/xprs_lift.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/xprs_lift.ma
index 54bdc487a924176ce9c179bd74e4a6b67820c4e5..cb151a194470cfbfd0162bf59df602f996cf0959 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/xprs_lift.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/xprs_lift.ma
@@ -20,7 +20,7 @@ include "basic_2/computation/xprs.ma".
 
 (* Advanced forward lemmas **************************************************)
 
-lemma xprs_fwd_abst1: â\88\80h,g,a,L,V1,T1,U2. â¦\83h, Lâ¦\84 â\8a¢ â\93\9b{a}V1. T1 â\9e¸*[g] U2 →
+lemma xprs_fwd_abst1: â\88\80h,g,a,L,V1,T1,U2. â¦\83h, Lâ¦\84 â\8a¢ â\93\9b{a}V1. T1 â\80¢â\9e¡*[g] U2 →
                       ∃∃V2,T2. L ⊢ V1 ➡* V2 & U2 = ⓛ{a}V2. T2.
 #h #g #a #L #V1 #T1 #U2 #H @(xprs_ind … H) -U2 /2 width=4/
 #U #U2 #_ #HU2 * #V #T #HV1 #H destruct
@@ -30,23 +30,21 @@ qed-.
 (* Relocation properties ****************************************************)
 
 lemma xprs_lift: ∀L,K,d,e. ⇩[d, e] L ≡ K → ∀T1,U1. ⇧[d, e] T1 ≡ U1 →
-                 â\88\80h,g,T2. â¦\83h, Kâ¦\84 â\8a¢ T1 â\9e¸*[g] T2 → ∀U2. ⇧[d, e] T2 ≡ U2 →
-                 â¦\83h, Lâ¦\84 â\8a¢ U1 â\9e¸*[g] U2.
+                 â\88\80h,g,T2. â¦\83h, Kâ¦\84 â\8a¢ T1 â\80¢â\9e¡*[g] T2 → ∀U2. ⇧[d, e] T2 ≡ U2 →
+                 â¦\83h, Lâ¦\84 â\8a¢ U1 â\80¢â\9e¡*[g] U2.
 #L #K #d #e #HLK #T1 #U1 #HTU1 #h #g #T2 #HT12 @(xprs_ind … HT12) -T2
 [ -HLK #T2 #HT12
    <(lift_mono … HTU1 … HT12) -T1 //
 | -HTU1 #T #T2 #_ #HT2 #IHT2 #U2 #HTU2
   elim (lift_total T d e) #U #HTU
-  lapply (xpr_lift … HLK … HTU … HTU2 … HT2) -T2 -HLK (* /3 width=3/ *)
-  #H @(step …H) /2 width=1/ (**) (* NTypeChecker failure *)
+  lapply (xpr_lift … HLK … HTU … HTU2 … HT2) -T2 -HLK /3 width=3/
 ]
 qed.
 
 lemma xprs_inv_lift1: ∀L,K,d,e. ⇩[d, e] L ≡ K →
-                      â\88\80T1,U1. â\87§[d, e] T1 â\89¡ U1 â\86\92 â\88\80h,g,U2. â¦\83h, Lâ¦\84 â\8a¢ U1 â\9e¸*[g] U2 →
-                      â\88\83â\88\83T2. â\87§[d, e] T2 â\89¡ U2 & â¦\83h, Kâ¦\84 â\8a¢ T1 â\9e¸*[g] T2.
+                      â\88\80T1,U1. â\87§[d, e] T1 â\89¡ U1 â\86\92 â\88\80h,g,U2. â¦\83h, Lâ¦\84 â\8a¢ U1 â\80¢â\9e¡*[g] U2 →
+                      â\88\83â\88\83T2. â\87§[d, e] T2 â\89¡ U2 & â¦\83h, Kâ¦\84 â\8a¢ T1 â\80¢â\9e¡*[g] T2.
 #L #K #d #e #HLK #T1 #U1 #HTU1 #h #g #U2 #HU12 @(xprs_ind … HU12) -U2 /2 width=3/
 -HTU1 #U #U2 #_ #HU2 * #T #HTU #HT1
-elim (xpr_inv_lift1 … HLK … HTU … HU2) -U -HLK (* /3 width=5/ *)
-#U #HU2 #HTU @(ex2_1_intro … HU2) @(step … HT1 HTU) (**) (* NTypeChecker failure *)
+elim (xpr_inv_lift1 … HLK … HTU … HU2) -U -HLK /3 width=5/
 qed.