milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / xpr / xprs.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/xpr/xprs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/xpr/xprs.etc
deleted file mode 100644 (file)
index bffc4e7..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/xpr/xprs.etc
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@@ -1,72 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-notation "hvbox( ⦃ term 46 h , break term 46 L ⦄ ⊢ break term 46 T1 • ➡ * break [ term 46 g ] break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'XPRedStar $h $g $L $T1 $T2 }.
-
-notation "hvbox( ⦃ term 46 h , break term 46 L ⦄ ⊢ • ⬊ * break [ term 46 g ] break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'XSN $h $g $L $T }.
-
-include "basic_2/static/lsubss.ma".
-include "basic_2/reducibility/xpr.ma".
-(*
-include "basic_2/reducibility/cnf.ma".
-*)
-(* EXTENDED PARALLEL COMPUTATION ON TERMS ***********************************)
-
-definition xprs: ∀h. sd h → lenv → relation term ≝
-                 λh,g,L. TC … (xpr h g L).
-
-interpretation "extended parallel computation (term)"
-   'XPRedStar h g L T1 T2 = (xprs h g L T1 T2).
-
-(* Basic eliminators ********************************************************)
-
-lemma xprs_ind: ∀h,g,L,T1. ∀R:predicate term. R T1 →
-                (∀T,T2. ⦃h, L⦄ ⊢ T1 •➡*[g] T → ⦃h, L⦄ ⊢ T •➡[g] T2 → R T → R T2) →
-                ∀T2. ⦃h, L⦄ ⊢ T1 •➡*[g] T2 → R T2.
-#h #g #L #T1 #R #HT1 #IHT1 #T2 #HT12
-@(TC_star_ind … HT1 IHT1 … HT12) //
-qed-.
-
-lemma xprs_ind_dx: ∀h,g,L,T2. ∀R:predicate term. R T2 →
-                   (∀T1,T. ⦃h, L⦄ ⊢ T1 •➡[g] T → ⦃h, L⦄ ⊢ T •➡*[g] T2 → R T → R T1) →
-                   ∀T1. ⦃h, L⦄ ⊢ T1 •➡*[g] T2 → R T1.
-#h #g #L #T2 #R #HT2 #IHT2 #T1 #HT12
-@(TC_star_ind_dx … HT2 IHT2 … HT12) //
-qed-.
-
-(* Basic properties *********************************************************)
-
-lemma xprs_refl: ∀h,g,L. reflexive … (xprs h g L).
-/2 width=1/ qed.
-
-lemma xprs_strap1: ∀h,g,L,T1,T,T2.
-                   ⦃h, L⦄ ⊢ T1 •➡*[g] T → ⦃h, L⦄ ⊢ T •➡[g] T2 → ⦃h, L⦄ ⊢ T1 •➡*[g] T2.
-/2 width=3/ qed.
-
-lemma xprs_strap2: ∀h,g,L,T1,T,T2.
-                   ⦃h, L⦄ ⊢ T1 •➡[g] T → ⦃h, L⦄ ⊢ T •➡*[g] T2 → ⦃h, L⦄ ⊢ T1 •➡*[g] T2.
-/2 width=3/ qed.
-
-(* Basic inversion lemmas ***************************************************)
-(*
-axiom xprs_inv_cnf1: ∀L,T,U. L ⊢ T ➡* U → L ⊢ 𝐍⦃T⦄ → T = U.
-#L #T #U #H @(xprs_ind_dx … H) -T //
-#T0 #T #H1T0 #_ #IHT #H2T0
-lapply (H2T0 … H1T0) -H1T0 #H destruct /2 width=1/
-qed-.
-*)