1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "delayed_updating/reduction/dfr.ma".
16 include "delayed_updating/reduction/ifr.ma".
17 include "delayed_updating/substitution/fsubst_lift.ma".
18 include "delayed_updating/syntax/prototerm_proper_constructors.ma".
20 (* DELAYED FOCUSED REDUCTION ************************************************)
22 lemma dfr_lift_bi (f) (p) (q) (t1) (t2): t1 ϵ 𝐓 →
23 t1 ➡𝐝𝐟[p,q] t2 → ↑[f]t1 ➡𝐟[⊗p,⊗q] ↑[f]t2.
24 #f #p #q #t1 #t2 #H0t1
26 @(ex_intro … (⊗b)) @and3_intro
28 | lapply (in_comp_lift_bi f … Ht1) -Ht1 #Ht1
29 | lapply (eq_lift_bi f … Ht2) -Ht2 #Ht2
30 @(subset_eq_trans … Ht2) -t2
31 @(subset_eq_trans … (lift_fsubst …))
32 [ <structure_append <structure_A_sn <structure_append <structure_L_sn
34 | /2 width=2 by ex_intro/