update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / bdd_term.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/bdd_term.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/bdd_term.ma
index ee69726dbb615fdd3fb80da45f03301900fd68d5..8d514e0d7f2a1fe8ff3438166b9aed1388d93d9c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/bdd_term.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/bdd_term.ma
@@ -24,7 +24,7 @@ include "ground/xoa/ex_5_3.ma".
 (* BY-DEPTH DELAYED (BDD) TERM **********************************************)
 
 inductive bdd: 𝒫❨prototerm❩ ≝
-| bdd_oref: ∀n. bdd (#n)
+| bdd_oref: ∀n. bdd (⧣n)
 | bdd_iref: ∀t,n. bdd t → bdd (𝛗n.t)
 | bdd_abst: ∀t. bdd t → bdd (𝛌.t)
 | bdd_appl: ∀u,t. bdd u → bdd t → bdd (@u.t)
@@ -35,12 +35,14 @@ interpretation
   "by-depth delayed (prototerm)"
   'ClassDPhi = (bdd).
 
+(*
+
 (* Basic inversions *********************************************************)
 
 lemma bdd_inv_in_comp_gen:
       ∀t,p. t ϵ 𝐃𝛗 → p ϵ t →
       ∨∨ ∃∃n. #n ⇔ t & 𝗱n◗𝐞 = p
-       | ∃∃u,q,n. u ϵ 𝐃𝛗 & q ϵ u & 𝛗n.u ⇔ t & 𝗱n◗q = p
+       | ∃∃u,q,n. u ϵ 𝐃𝛗 & q ϵ u & 𝛗n.u ⇔ t & 𝗱n◗𝗺◗q = p
        | ∃∃u,q. u ϵ 𝐃𝛗 & q ϵ u & 𝛌.u ⇔ t & 𝗟◗q = p
        | ∃∃v,u,q. v ϵ 𝐃𝛗 & u ϵ 𝐃𝛗 & q ϵ u & @v.u ⇔ t & 𝗔◗q = p
        | ∃∃v,u,q. v ϵ 𝐃𝛗 & u ϵ 𝐃𝛗 & q ϵ v & @v.u ⇔ t & 𝗦◗q = p
@@ -64,12 +66,13 @@ qed-.
 lemma bdd_inv_in_comp_d:
       ∀t,q,n. t ϵ 𝐃𝛗 → 𝗱n◗q ϵ t →
       ∨∨ ∧∧ #n ⇔ t & 𝐞 = q
-       | ∃∃u. u ϵ 𝐃𝛗 & q ϵ u & 𝛗n.u ⇔ t
+       | ∃∃u. u ϵ 𝐃𝛗 & q ϵ ɱ.u & 𝛗n.u ⇔ t
 .
 #t #q #n #Ht #Hq
 elim (bdd_inv_in_comp_gen … Ht Hq) -Ht -Hq *
 [ #n0 #H1 #H2 destruct /3 width=1 by or_introl, conj/
-| #u0 #q0 #n0 #Hu0 #Hq0 #H1 #H2 destruct /3 width=4 by ex3_intro, or_intror/
+| #u0 #q0 #n0 #Hu0 #Hq0 #H1 #H2 destruct
+ /4 width=4 by ex3_intro, ex2_intro, or_intror/
 | #u0 #q0 #_ #_ #_ #H0 destruct
 | #v0 #u0 #q0 #_ #_ #_ #_ #H0 destruct
 | #v0 #u0 #q0 #_ #_ #_ #_ #H0 destruct
@@ -79,7 +82,7 @@ qed-.
 lemma bdd_inv_in_root_d:
       ∀t,q,n. t ϵ 𝐃𝛗 → 𝗱n◗q ϵ ▵t →
       ∨∨ ∧∧ #n ⇔ t & 𝐞 = q
-       | ∃∃u. u ϵ 𝐃𝛗 & q ϵ ▵u & 𝛗n.u ⇔ t
+       | ∃∃u. u ϵ 𝐃𝛗 & q ϵ ▵ɱ.u & 𝛗n.u ⇔ t
 .
 #t #q #n #Ht * #r #Hq
 elim (bdd_inv_in_comp_d … Ht Hq) -Ht -Hq *
@@ -210,3 +213,4 @@ lemma bbd_mono_in_root_d:
   ]
 ]
 qed-.
+*)
\ No newline at end of file