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[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / unfold / delift_lift.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/unfold/delift_lift.ma b/matita/matita/contribs/lambda_delta/Basic_2/unfold/delift_lift.ma
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--- a/matita/matita/contribs/lambda_delta/Basic_2/unfold/delift_lift.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 "Basic_2/unfold/tpss_lift.ma".
-include "Basic_2/unfold/delift.ma".
-
-(* DELIFT ON TERMS **********************************************************)
-
-(* Advanced forward lemmas **************************************************)
-
-lemma delift_fwd_lref1_lt: ∀L,U2,i,d,e. L ⊢ #i [d, e] ≡ U2 → i < d → U2 = #i.
-#L #U2 #i #d #e * #U #HU #HU2 #Hid
-elim (tpss_inv_lref1 … HU) -HU
-[ #H destruct >(lift_inv_lref2_lt … HU2) //
-| * #K #V1 #V2 #Hdi
-  lapply (lt_to_le_to_lt … Hid Hdi) -Hid -Hdi #Hi
-  elim (lt_refl_false … Hi)
-]
-qed-.
-
-lemma delift_fwd_lref1_be: ∀L,U2,d,e,i. L ⊢ #i [d, e] ≡ U2 →
-                           d ≤ i → i < d + e →
-                           ∃∃K,V1,V2. ⇩[0, i] L ≡ K. ⓓV1 &
-                                      K ⊢ V1 [0, d + e - i - 1] ≡ V2 &
-                                      ⇧[0, d] V2 ≡ U2.
-#L #U2 #d #e #i * #U #HU #HU2 #Hdi #Hide
-elim (tpss_inv_lref1 … HU) -HU
-[ #H destruct elim (lift_inv_lref2_be … HU2 ? ?) //
-| * #K #V1 #V #_ #_ #HLK #HV1 #HVU
-  elim (lift_div_be … HVU … HU2 ? ?) -U // /2 width=1/ /3 width=6/
-]
-qed-.
-
-lemma delift_fwd_lref1_ge: ∀L,U2,i,d,e. L ⊢ #i [d, e] ≡ U2 →
-                           d + e ≤ i → U2 = #(i - e).
-#L #U2 #i #d #e * #U #HU #HU2 #Hdei
-elim (tpss_inv_lref1 … HU) -HU
-[ #H destruct >(lift_inv_lref2_ge … HU2) //
-| * #K #V1 #V2 #_ #Hide
-  lapply (lt_to_le_to_lt … Hide Hdei) -Hide -Hdei #Hi
-  elim (lt_refl_false … Hi)
-]
-qed-.