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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 (* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
17 include "basic_2/rt_transition/cnx.ma".
18 include "basic_2/rt_computation/csx.ma".
20 (* Properties with normal terms for unbound parallel rt-transition **********)
22 (* Basic_1: was just: sn3_nf2 *)
23 lemma cnx_csx (h) (G) (L):
24 ∀T. ❪G,L❫ ⊢ ⬈𝐍[h] T → ❪G,L❫ ⊢ ⬈*𝐒[h] T.
25 /2 width=1 by NF_to_SN/ qed.
27 (* Advanced properties ******************************************************)
29 lemma csx_sort (h) (G) (L):
30 ∀s. ❪G,L❫ ⊢ ⬈*𝐒[h] ⋆s.
31 /3 width=4 by cnx_csx, cnx_sort/ qed.