- some renaming according to the written version of basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / unfold / lstas_aaa.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_aaa.ma
index 434c6e991bc51840bf70bfb563b0322731be9a07..405f62ba2dd033420a8d04cc80901b9ff2439c33 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_aaa.ma
@@ -19,36 +19,36 @@ include "basic_2/unfold/lstas_lstas.ma".
 
 (* Properties on atomic arity assignment for terms **************************)
 
-lemma aaa_lstas: ∀h,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ∀l.
-                 ∃∃U. ⦃G, L⦄ ⊢ T •*[h, l] U & ⦃G, L⦄ ⊢ U ⁝ A.
+lemma aaa_lstas: ∀h,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ∀d.
+                 ∃∃U. ⦃G, L⦄ ⊢ T •*[h, d] U & ⦃G, L⦄ ⊢ U ⁝ A.
 #h #G #L #T #A #H elim H -G -L -T -A
 [ /2 width=3 by ex2_intro/
-| * #G #L #K #V #B #i #HLK #HV #IHV #l
-  [ elim (IHV l) -IHV #W
+| * #G #L #K #V #B #i #HLK #HV #IHV #d
+  [ elim (IHV d) -IHV #W
     elim (lift_total W 0 (i+1))
     lapply (drop_fwd_drop2 … HLK)
     /3 width=10 by lstas_ldef, aaa_lift, ex2_intro/
-  | @(nat_ind_plus … l) -l
+  | @(nat_ind_plus … d) -d
     [ elim (IHV 0) -IHV /3 width=7 by lstas_zero, aaa_lref, ex2_intro/
-    | #l #_ elim (IHV l) -IHV #W
+    | #d #_ elim (IHV d) -IHV #W
       elim (lift_total W 0 (i+1))
       lapply (drop_fwd_drop2 … HLK)
       /3 width=10 by lstas_succ, aaa_lift, ex2_intro/
     ]
   ]
-| #a #G #L #V #T #B #A #HV #_ #_ #IHT #l elim (IHT l) -IHT
+| #a #G #L #V #T #B #A #HV #_ #_ #IHT #d elim (IHT d) -IHT
   /3 width=7 by lstas_bind, aaa_abbr, ex2_intro/
-| #a #G #L #V #T #B #A #HV #_ #_ #IHT #l elim (IHT l) -IHT
+| #a #G #L #V #T #B #A #HV #_ #_ #IHT #d elim (IHT d) -IHT
   /3 width=6 by lstas_bind, aaa_abst, ex2_intro/
-| #G #L #V #T #B #A #HV #_ #_ #IHT #l elim (IHT l) -IHT
+| #G #L #V #T #B #A #HV #_ #_ #IHT #d elim (IHT d) -IHT
   /3 width=6 by lstas_appl, aaa_appl, ex2_intro/
-| #G #L #W #T #A #HW #_ #_ #IHT #l elim (IHT l) -IHT
+| #G #L #W #T #A #HW #_ #_ #IHT #d elim (IHT d) -IHT
   /3 width=3 by lstas_cast, aaa_cast, ex2_intro/
 ]
 qed-.
 
-lemma lstas_aaa_conf: ∀h,G,L,l. Conf3 … (aaa G L) (lstas h l G L).
-#h #G #L #l #A #T #HT #U #HTU
-elim (aaa_lstas h … HT l) -HT #X #HTX
+lemma lstas_aaa_conf: ∀h,G,L,d. Conf3 … (aaa G L) (lstas h d G L).
+#h #G #L #d #A #T #HT #U #HTU
+elim (aaa_lstas h … HT d) -HT #X #HTX
 lapply (lstas_mono … HTX … HTU) -T //
 qed-.