matita/matita/contribs/lambda_delta/Basic_2/unfold/lifts_vector.ma

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  14
  15 include "Basic_2/substitution/lift_vector.ma".
  16 include "Basic_2/unfold/lifts.ma".
  17
  18 (* GENERIC RELOCATION *******************************************************)
  19
  20 inductive liftsv (des:list2 nat nat) : relation (list term) ≝
  21 | liftsv_nil : liftsv des ◊ ◊
  22 | liftsv_cons: ∀T1s,T2s,T1,T2.
  23                ⇑[des] T1 ≡ T2 → liftsv des T1s T2s →
  24                liftsv des (T1 :: T1s) (T2 :: T2s)
  25 .
  26
  27 interpretation "generic relocation (vector)"
  28    'RLift des T1s T2s = (liftsv des T1s T2s).
  29
  30 (* Basic inversion lemmas ***************************************************)
  31
  32 axiom lifts_inv_applv1: ∀V1s,U1,T2,des. ⇑[des] Ⓐ V1s. U1 ≡ T2 →
  33                         ∃∃V2s,U2. ⇑[des] V1s ≡ V2s & ⇑[des] U1 ≡ U2 &
  34                                   T2 = Ⓐ V2s. U2.
  35
  36 (* Basic properties *********************************************************)
  37
  38 lemma liftsv_applv: ∀V1s,V2s,des. ⇑[des] V1s ≡ V2s →
  39                     ∀T1,T2. ⇑[des] T1 ≡ T2 →
  40                     ⇑[des] Ⓐ V1s. T1 ≡ Ⓐ V2s. T2.
  41 #V1s #V2s #des #H elim H -V1s -V2s // /3 width=1/
  42 qed.