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

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / unfold / lifts.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/lifts.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/lifts.ma
index 8846eec0baa802b3a9c007239b6d66dd66e0c0c7..40158acbe45749e94d83aa002831ccffa248acc4 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/unfold/lifts.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/lifts.ma
@@ -61,7 +61,7 @@ qed-.
 
 (* Basic_1: was: lift1_lref *)
 lemma lifts_inv_lref1: ∀T2,des,i1. ⇧*[des] #i1 ≡ T2 →
-                       ∃∃i2. @[i1] des ≡ i2 & T2 = #i2.
+                       ∃∃i2. @⦃i1, des⦄ ≡ i2 & T2 = #i2.
 #T2 #des elim des -des
 [ #i1 #H <(lifts_inv_nil … H) -H /2 width=3/
 | #d #e #des #IH #i1 #H
@@ -81,10 +81,10 @@ lemma lifts_inv_gref1: ∀T2,p,des. ⇧*[des] §p ≡ T2 → T2 = §p.
 qed-.
 
 (* Basic_1: was: lift1_bind *)
-lemma lifts_inv_bind1: ∀I,T2,des,V1,U1. ⇧*[des] ⓑ{I} V1. U1 ≡ T2 →
+lemma lifts_inv_bind1: ∀a,I,T2,des,V1,U1. ⇧*[des] ⓑ{a,I} V1. U1 ≡ T2 →
                        ∃∃V2,U2. ⇧*[des] V1 ≡ V2 & ⇧*[des + 1] U1 ≡ U2 &
-                                T2 = ⓑ{I} V2. U2.
-#I #T2 #des elim des -des
+                                T2 = ⓑ{a,I} V2. U2.
+#a #I #T2 #des elim des -des
 [ #V1 #U1 #H
   <(lifts_inv_nil … H) -H /2 width=5/
 | #d #e #des #IHdes #V1 #U1 #H
@@ -122,10 +122,10 @@ qed-.
 
 (* Basic properties *********************************************************)
 
-lemma lifts_bind: ∀I,T2,V1,V2,des. ⇧*[des] V1 ≡ V2 →
+lemma lifts_bind: ∀a,I,T2,V1,V2,des. ⇧*[des] V1 ≡ V2 →
                   ∀T1. ⇧*[des + 1] T1 ≡ T2 →
-                  ⇧*[des] ⓑ{I} V1. T1 ≡ ⓑ{I} V2. T2.
-#I #T2 #V1 #V2 #des #H elim H -V1 -V2 -des
+                  ⇧*[des] ⓑ{a,I} V1. T1 ≡ ⓑ{a,I} V2. T2.
+#a #I #T2 #V1 #V2 #des #H elim H -V1 -V2 -des
 [ #V #T1 #H >(lifts_inv_nil … H) -H //
 | #V1 #V #V2 #des #d #e #HV1 #_ #IHV #T1 #H
   elim (lifts_inv_cons … H) -H /3 width=3/