update in functional

[helm.git] / matita / matita / contribs / lambdadelta / apps_2 / models / tm_exteq.ma

diff --git a/matita/matita/contribs/lambdadelta/apps_2/models/tm_exteq.ma b/matita/matita/contribs/lambdadelta/apps_2/models/tm_exteq.ma
deleted file mode 100644 (file)
index 0047ad2..0000000
--- a/matita/matita/contribs/lambdadelta/apps_2/models/tm_exteq.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "ground_2/lib/functions.ma".
-include "ground_2/lib/exteq.ma".
-include "apps_2/models/tm.ma".
-
-(* TERM MODEL ***************************************************************)
-
-(* Properties with extensional equivalencs of evaluations *******************) 
-
-lemma tm_gc_id: ∀j. ⇡[j]tm_gc ≐ tm_gc.
-// qed.
-
-lemma tm_lc_id: ⇡[0←#0]tm_lc ≐ tm_lc.
-#i elim (eq_or_gt i) #Hi destruct //
->tm_vpush_gt // >(flifts_lref_uni 1) <(S_pred … Hi) in ⊢ (???%); -Hi //
-qed.
-
-lemma tm_vlift_comp (l): compatible_2 … (tm_vlift l) (exteq …) (exteq …).
-#l #gv1 #gv2 #Hgv #i
->tm_vlift_rw >tm_vlift_rw //
-qed.
-
-lemma tm_vpush_comp (i): compatible_3 … (tm_vpush i) (eq …) (exteq …) (exteq …).
-#i #T1 #T2 #HT12 #lv1 #lv2 #Hlv #j
-elim (lt_or_eq_or_gt j i) #Hij destruct
-[ >tm_vpush_lt // >tm_vpush_lt //
-| >tm_vpush_eq >tm_vpush_eq //
-| >tm_vpush_gt // >tm_vpush_gt //
-]
-qed-.
-
-lemma tm_ti_comp (T): compatible_3 … (λgv,lv.tm_ti gv lv T) (exteq …) (exteq …) (eq …).
-#T elim T -T *
-[ //
-| #i #gv1 #gv2 #Hgv #lv1 #lv2 #Hlv
-  whd in ⊢ (??%%); //
-| #i #gv1 #gv2 #Hgv #lv1 #lv2 #Hlv
-  whd in ⊢ (??%%); //
-| #p #I #V #T #IHV #IHT #gv1 #gv2 #Hgv #lv1 #lv2 #Hlv
-  whd in ⊢ (??%%); /4 width=1 by tm_vlift_comp, tm_vpush_comp, eq_f3/
-| #I #V #T #IHV #IHT #gv1 #gv2 #Hgv #lv1 #lv2 #Hlv
-  whd in ⊢ (??%%); /3 width=1 by eq_f3/
-]
-qed-.
-
-lemma tm_ti_eq (T): tm_ti tm_gc tm_lc T = T.
-#T elim T -T * //
-[ #p #I #V #T #IHV #IHT
-  <IHV in ⊢ (???%); <IHT in ⊢ (???%); -IHV -IHT
-  whd in ⊢ (??%?); /3 width=1 by tm_ti_comp, eq_f3/
-| #I #V #T #IHV #IHT
-  <IHV in ⊢ (???%); <IHT in ⊢ (???%); -IHV -IHT //
-]
-qed.