+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "basic_2/notation/relations/preditnormal_4.ma".
-include "static_2/syntax/tueq.ma".
-include "basic_2/rt_transition/cpm.ma".
-
-(* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
-
-definition cnu (h) (G) (L): predicate term ≝
- λT1. ∀n,T2. ⦃G,L⦄ ⊢ T1 ➡[n,h] T2 → T1 ≅ T2.
-
-interpretation
- "normality for t-unbound context-sensitive parallel rt-transition (term)"
- 'PRedITNormal h G L T = (cnu h G L T).
-
-(* Basic properties *********************************************************)
-
-lemma cnu_sort (h) (G) (L): ∀s. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃⋆s⦄.
-#h #G #L #s1 #n #X #H
-elim (cpm_inv_sort1 … H) -H #H #_ destruct //
-qed.
-
-lemma cnu_ctop (h) (G): ∀i. ⦃G,⋆⦄ ⊢ ⥲[h] 𝐍⦃#i⦄.
-#h #G * [| #i ] #n #X #H
-[ elim (cpm_inv_zero1 … H) -H *
- [ #H #_ destruct //
- | #Y #X1 #X2 #_ #_ #H destruct
- | #m #Y #X1 #X2 #_ #_ #H destruct
- ]
-| elim (cpm_inv_lref1 … H) -H *
- [ #H #_ destruct //
- | #Z #Y #X0 #_ #_ #H destruct
- ]
-]
-qed.
-
-lemma cnu_zero (h) (G) (L): ∀I. ⦃G,L.ⓤ{I}⦄ ⊢ ⥲[h] 𝐍⦃#0⦄.
-#h #G #L #I #n #X #H
-elim (cpm_inv_zero1 … H) -H *
-[ #H #_ destruct //
-| #Y #X1 #X2 #_ #_ #H destruct
-| #m #Y #X1 #X2 #_ #_ #H destruct
-]
-qed.
-
-lemma cnu_gref (h) (G) (L): ∀l. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃§l⦄.
-#h #G #L #l1 #n #X #H
-elim (cpm_inv_gref1 … H) -H #H #_ destruct //
-qed.