- we introduced the pointer_step rc in the perspective of proving

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / reducibility / xpr_lift.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/xpr_lift.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/xpr_lift.ma
index 9b1376aaa34e456175bed4f938ab75a2bae734f7..8f5deca516e704b98776d23672fc814f37641d61 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/reducibility/xpr_lift.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/reducibility/xpr_lift.ma
@@ -20,12 +20,12 @@ include "basic_2/reducibility/xpr.ma".
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma xpr_inv_abst1: ∀h,g,L,V1,T1,U2. ⦃h, L⦄ ⊢ ⓛV1.T1 ➸[g] U2 →
-                     â\88\83â\88\83V2,T2. L â\8a¢ V1 â\9e¡ V2 & â¦\83h, L. â\93\9bV1â¦\84 â\8a¢ T1 â\9e¸[g] T2 &
-                              U2 = ⓛV2. T2.
-#h #g #L #V1 #T1 #U2 *
+lemma xpr_inv_abst1: ∀h,g,a,L,V1,T1,U2. ⦃h, L⦄ ⊢ ⓛ{a}V1.T1 •➡[g] U2 →
+                     â\88\83â\88\83V2,T2. L â\8a¢ V1 â\9e¡ V2 & â¦\83h, L. â\93\9bV1â¦\84 â\8a¢ T1 â\80¢â\9e¡[g] T2 &
+                              U2 = ⓛ{a}V2. T2.
+#h #g #a #L #V1 #T1 #U2 *
 [ #H elim (cpr_inv_abst1 … H Abst V1) /3 width=5/
-| * #l #H elim (ssta_inv_bind1 … H) /3 width=5/
+| #l #H elim (ssta_inv_bind1 … H) /3 width=5/
 ]
 qed-.
 
@@ -33,15 +33,15 @@ qed-.
 
 lemma xpr_lift: ∀L,K,d,e. ⇩[d, e] L ≡ K →
                 ∀T1,U1. ⇧[d, e] T1 ≡ U1 → ∀T2,U2. ⇧[d, e] T2 ≡ U2 →
-                â\88\80h,g. â¦\83h, Kâ¦\84 â\8a¢ T1 â\9e¸[g] T2 â\86\92 â¦\83h, Lâ¦\84 â\8a¢ U1 â\9e¸[g] U2.
-#L #K #d #e #HLK #T1 #U1 #HTU1 #T2 #U2 #HTU2 #h #g * [2: * ]
+                â\88\80h,g. â¦\83h, Kâ¦\84 â\8a¢ T1 â\80¢â\9e¡[g] T2 â\86\92 â¦\83h, Lâ¦\84 â\8a¢ U1 â\80¢â\9e¡[g] U2.
+#L #K #d #e #HLK #T1 #U1 #HTU1 #T2 #U2 #HTU2 #h #g *
 /3 width=9/ /3 width=10/
 qed.
 
 lemma xpr_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.
-#L #K #d #e #HLK #T1 #U1 #HTU1 #h #g #U2 * [ #HU12 | * #l #HU12 ]
+                     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 | #l #HU12 ]
 [ elim (cpr_inv_lift1 … HLK … HTU1 … HU12) -L -U1 /3 width=3/
 | elim (ssta_inv_lift1 … HU12 … HLK … HTU1) -L -U1 /3 width=4/
 ]