matita/matita/lib/lambda-delta/substitution/lift_fun.ma

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   3 (*      ||M||                                                             *)
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  14
  15 include "lambda-delta/substitution/lift_defs.ma".
  16
  17 (* RELOCATION ***************************************************************)
  18
  19 (* the functional properties **************************************************)
  20
  21 axiom lift_total: ∀d,e,T1. ∃T2. ↑[d,e] T1 ≡ T2.
  22
  23 axiom lift_mono:  ∀d,e,T,U1. ↑[d,e] T ≡ U1 → ∀U2. ↑[d,e] T ≡ U2 → U1 = U2.
  24
  25 axiom lift_inj:  ∀d,e,T1,U. ↑[d,e] T1 ≡ U → ∀T2. ↑[d,e] T2 ≡ U → T1 = T2.