matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_prototerm.ma

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   3 (*      ||M||                                                             *)
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  14
  15 include "delayed_updating/substitution/lift.ma".
  16 include "delayed_updating/syntax/prototerm.ma".
  17 include "ground/lib/subset_ext_equivalence.ma".
  18
  19 (* LIFT FOR PROTOTERM *******************************************************)
  20
  21 interpretation
  22   "lift (prototerm)"
  23   'UpArrow f t = (subset_ext_f1 ? ? (lift_gen ? proj_path f) t).
  24
  25 (* Basic constructions ******************************************************)
  26
  27 lemma in_comp_lift_bi (f) (p) (t):
  28       p ϵ t → ↑[f]p ϵ ↑[f]t.
  29 /2 width=1 by subset_in_ext_f1_dx/
  30 qed.
  31
  32 lemma eq_lift_bi (f) (t1) (t2):
  33       t1 ⇔ t2 → ↑[f]t1 ⇔ ↑[f]t2.
  34 /2 width=1 by subset_equivalence_ext_f1_bi/
  35 qed.