update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / etc / lift_k / lift_constructors.etc

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/etc/lift_k/lift_constructors.etc b/matita/matita/contribs/lambdadelta/delayed_updating/etc/lift_k/lift_constructors.etc
deleted file mode 100644 (file)
index 1cdcd46..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/etc/lift_k/lift_constructors.etc
+++ /dev/null
@@ -1,51 +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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "delayed_updating/substitution/lift_prototerm_id.ma".
-include "delayed_updating/substitution/lift_path_uni.ma".
-include "delayed_updating/syntax/prototerm_constructors.ma".
-
-(* LIFT FOR PROTOTERM *******************************************************)
-
-lemma lift_iref_bi (t1) (t2) (n):
-      t1 ⇔ t2 → 𝛗n.t1 ⇔ 𝛗n.t2.
-/2 width=1 by subset_equivalence_ext_f1_bi/
-qed.
-
-lemma lift_iref_sn (f) (t:prototerm) (n:pnat):
-      (𝛗f＠⧣❨n❩.↑[⇂*[n]f]t) ⊆ ↑[f](𝛗n.t).
-#f #t #n #p * #q * #r #Hr #H1 #H2 destruct
-@(ex2_intro … (𝗱n◗𝗺◗r))
-/2 width=1 by in_comp_iref/
-qed-.
-
-lemma lift_iref_dx (f) (t) (n:pnat):
-      ↑[f](𝛗n.t) ⊆ 𝛗f＠⧣❨n❩.↑[⇂*[n]f]t.
-#f #t #n #p * #q #Hq #H0 destruct
-elim (in_comp_inv_iref … Hq) -Hq #p #H0 #Hp destruct
-/3 width=1 by in_comp_iref, in_comp_lift_bi/
-qed-.
-
-lemma lift_iref (f) (t) (n:pnat):
-      (𝛗f＠⧣❨n❩.↑[⇂*[n]f]t) ⇔ ↑[f](𝛗n.t).
-/3 width=1 by conj, lift_iref_sn, lift_iref_dx/
-qed.
-
-lemma lift_iref_uni (t) (m) (n):
-      (𝛗(n+m).t) ⇔ ↑[𝐮❨m❩](𝛗n.t).
-#t #m #n
-@(subset_eq_trans … (lift_iref …))
-<tr_uni_pap >nsucc_pnpred <tr_tls_succ_uni
-/3 width=1 by lift_iref_bi, lift_term_id/
-qed.