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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 "ground/lib/functions.ma".
16 include "apps_2/functional/flifts_flifts_basic.ma".
17 include "apps_2/functional/mf_vlift.ma".
19 (* MULTIPLE EVALUATION LIFT *************************************************)
21 (* Properties with extensional equivalence **********************************)
23 lemma mf_gc_id: ∀j. ⇡[j]mf_gi ≐ mf_gi.
26 lemma mf_vlift_comp (l): compatible_2 … (mf_vlift l) (exteq …) (exteq …).
28 >mf_vlift_rw >mf_vlift_rw //
31 (* Main properties with extensional equivalence *****************************)
33 theorem mf_vlift_swap: ∀l1,l2. l2 ≤ l1 → ∀v. ⇡[l2]⇡[l1]v ≐ ⇡[↑l1]⇡[l2]v.
34 /2 width=1 by flifts_basic_swap/ qed-.