+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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/substitution/lift_vector.ma".
-include "basic_2/unfold/lifts.ma".
-
-(* GENERIC TERM VECTOR RELOCATION *******************************************)
-
-inductive liftsv (des:list2 nat nat) : relation (list term) ≝
-| liftsv_nil : liftsv des ◊ ◊
-| liftsv_cons: ∀T1s,T2s,T1,T2.
- ⇧*[des] T1 ≡ T2 → liftsv des T1s T2s →
- liftsv des (T1 @ T1s) (T2 @ T2s)
-.
-
-interpretation "generic relocation (vector)"
- 'RLiftStar des T1s T2s = (liftsv des T1s T2s).
-
-(* Basic inversion lemmas ***************************************************)
-
-(* Basic_1: was: lifts1_flat (left to right) *)
-lemma lifts_inv_applv1: ∀V1s,U1,T2,des. ⇧*[des] Ⓐ V1s. U1 ≡ T2 →
- ∃∃V2s,U2. ⇧*[des] V1s ≡ V2s & ⇧*[des] U1 ≡ U2 &
- T2 = Ⓐ V2s. U2.
-#V1s elim V1s -V1s normalize
-[ #T1 #T2 #des #HT12
- @(ex3_2_intro) [3,4: // |1,2: skip | // ] (**) (* explicit constructor *)
-| #V1 #V1s #IHV1s #T1 #X #des #H
- elim (lifts_inv_flat1 … H) -H #V2 #Y #HV12 #HY #H destruct
- elim (IHV1s … HY) -IHV1s -HY #V2s #T2 #HV12s #HT12 #H destruct
- @(ex3_2_intro) [4: // |3: /2 width=2/ |1,2: skip | // ] (**) (* explicit constructor *)
-]
-qed-.
-
-(* Basic properties *********************************************************)
-
-(* Basic_1: was: lifts1_flat (right to left) *)
-lemma lifts_applv: ∀V1s,V2s,des. ⇧*[des] V1s ≡ V2s →
- ∀T1,T2. ⇧*[des] T1 ≡ T2 →
- ⇧*[des] Ⓐ V1s. T1 ≡ Ⓐ V2s. T2.
-#V1s #V2s #des #H elim H -V1s -V2s // /3 width=1/
-qed.