milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / delift / delift_tpss.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/delift/delift_tpss.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/delift/delift_tpss.etc
deleted file mode 100644 (file)
index 662ae56..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/delift/delift_tpss.etc
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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 "basic_2/unfold/tpss_tpss.ma".
-include "basic_2/unfold/delift.ma".
-
-(* INVERSE BASIC TERM RELOCATION  *******************************************)
-
-(* Properties on partial unfold on terms ************************************)
-
-lemma delift_tpss_conf_le: ∀L,U1,U2,d,e. L ⊢ U1 ▶* [d, e] U2 →
-                           ∀T1,dd,ee. L ⊢ ▼*[dd, ee] U1 ≡ T1 →
-                           ∀K. ⇩[dd, ee] L ≡ K → d + e ≤ dd →
-                           ∃∃T2. K ⊢ T1 ▶* [d, e] T2 & L ⊢ ▼*[dd, ee] U2 ≡ T2.
-#L #U1 #U2 #d #e #HU12 #T1 #dd #ee * #X1 #HUX1 #HTX1 #K #HLK #H1
-elim (tpss_conf_eq … HU12 … HUX1) -U1 #U1 #HU21 #HXU1
-elim (tpss_inv_lift1_le … HXU1 … HLK … HTX1 ?) -X1 -HLK // -H1 /3 width=5/
-qed.
-
-lemma delift_tps_conf_le: ∀L,U1,U2,d,e. L ⊢ U1 ▶ [d, e] U2 →
-                          ∀T1,dd,ee. L ⊢ ▼*[dd, ee] U1 ≡ T1 →
-                          ∀K. ⇩[dd, ee] L ≡ K → d + e ≤ dd →
-                          ∃∃T2. K ⊢ T1 ▶* [d, e] T2 & L ⊢ ▼*[dd, ee] U2 ≡ T2.
-/3 width=3/ qed.
-
-lemma delift_tpss_conf_le_up: ∀L,U1,U2,d,e. L ⊢ U1 ▶* [d, e] U2 →
-                              ∀T1,dd,ee. L ⊢ ▼*[dd, ee] U1 ≡ T1 →
-                              ∀K. ⇩[dd, ee] L ≡ K →
-                              d ≤ dd → dd ≤ d + e → d + e ≤ dd + ee →
-                              ∃∃T2. K ⊢ T1 ▶* [d, dd - d] T2 &
-                                    L ⊢ ▼*[dd, ee] U2 ≡ T2.
-#L #U1 #U2 #d #e #HU12 #T1 #dd #ee * #X1 #HUX1 #HTX1 #K #HLK #H1 #H2 #H3
-elim (tpss_conf_eq … HU12 … HUX1) -U1 #U1 #HU21 #HXU1
-elim (tpss_inv_lift1_le_up … HXU1 … HLK … HTX1 ? ? ?) -X1 -HLK // -H1 -H2 -H3 /3 width=5/
-qed.
-
-lemma delift_tps_conf_le_up: ∀L,U1,U2,d,e. L ⊢ U1 ▶ [d, e] U2 →
-                             ∀T1,dd,ee. L ⊢ ▼*[dd, ee] U1 ≡ T1 →
-                             ∀K. ⇩[dd, ee] L ≡ K →
-                             d ≤ dd → dd ≤ d + e → d + e ≤ dd + ee →
-                             ∃∃T2. K ⊢ T1 ▶* [d, dd - d] T2 &
-                                   L ⊢ ▼*[dd, ee] U2 ≡ T2.
-/3 width=6/ qed.
-
-lemma delift_tpss_conf_be: ∀L,U1,U2,d,e. L ⊢ U1 ▶* [d, e] U2 →
-                           ∀T1,dd,ee. L ⊢ ▼*[dd, ee] U1 ≡ T1 →
-                           ∀K. ⇩[dd, ee] L ≡ K → d ≤ dd → dd + ee ≤ d + e →
-                           ∃∃T2. K ⊢ T1 ▶* [d, e - ee] T2 &
-                                 L ⊢ ▼*[dd, ee] U2 ≡ T2.
-#L #U1 #U2 #d #e #HU12 #T1 #dd #ee * #X1 #HUX1 #HTX1 #K #HLK #H1 #H2
-elim (tpss_conf_eq … HU12 … HUX1) -U1 #U1 #HU21 #HXU1
-elim (tpss_inv_lift1_be … HXU1 … HLK … HTX1 ? ?) -X1 -HLK // -H1 -H2 /3 width=5/
-qed.
-
-lemma delift_tps_conf_be: ∀L,U1,U2,d,e. L ⊢ U1 ▶ [d, e] U2 →
-                          ∀T1,dd,ee. L ⊢ ▼*[dd, ee] U1 ≡ T1 →
-                          ∀K. ⇩[dd, ee] L ≡ K → d ≤ dd → dd + ee ≤ d + e →
-                          ∃∃T2. K ⊢ T1 ▶* [d, e - ee] T2 &
-                                L ⊢ ▼*[dd, ee] U2 ≡ T2.
-/3 width=3/ qed.
-
-lemma delift_tpss_conf_eq: ∀L,U1,U2,d,e. L ⊢ U1 ▶* [d, e] U2 →
-                           ∀T. L ⊢ ▼*[d, e] U1 ≡ T → L ⊢ ▼*[d, e] U2 ≡ T.
-#L #U1 #U2 #d #e #HU12 #T * #X1 #HUX1 #HTX1
-elim (tpss_conf_eq … HU12 … HUX1) -U1 #U1 #HU21 #HXU1
-lapply (tpss_inv_lift1_eq … HXU1 … HTX1) -HXU1 #H destruct /2 width=3/
-qed.
-
-lemma delift_tps_conf_eq: ∀L,U1,U2,d,e. L ⊢ U1 ▶ [d, e] U2 →
-                          ∀T. L ⊢ ▼*[d, e] U1 ≡ T → L ⊢ ▼*[d, e] U2 ≡ T.
-/3 width=3/ qed.
-
-lemma tpss_delift_trans_eq: ∀L,U1,U2,d,e. L ⊢ U1 ▶* [d, e] U2 →
-                            ∀T. L ⊢ ▼*[d, e] U2 ≡ T → L ⊢ ▼*[d, e] U1 ≡ T.
-#L #U1 #U2 #d #e #HU12 #T * #X1 #HUX1 #HTX1
-lapply (tpss_trans_eq … HU12 … HUX1) -U2 /2 width=3/
-qed.
-
-lemma tps_delift_trans_eq: ∀L,U1,U2,d,e. L ⊢ U1 ▶ [d, e] U2 →
-                           ∀T. L ⊢ ▼*[d, e] U2 ≡ T → L ⊢ ▼*[d, e] U1 ≡ T.
-/3 width=3/ qed.