+++ /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/rt_computation/cprs_cnr.ma".
-include "basic_2/rt_computation/cpre.ma".
-include "basic_2/dynamic/cnv_preserve.ma".
-
-(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
-
-(* Properties with t-bound evaluation on terms ******************************)
-
-lemma cnv_cpme_trans (h) (a) (n) (G) (L):
- ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] →
- ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T2 ![h,a].
-#h #a #n #G #L #T1 #HT1 #T2 * #HT12 #_
-/2 width=4 by cnv_cpms_trans/
-qed-.
-
-lemma cnv_cpme_cpms_conf (h) (a) (n) (G) (L):
- ∀T. ⦃G,L⦄ ⊢ T ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[n,h] T1 →
- ∀T2. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T1 ➡*[h] 𝐍⦃T2⦄.
-#h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 * #HT02 #HT2
-elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
-lapply (cprs_inv_cnr_sn … HT20 HT2) -HT20 #H destruct
-/2 width=1 by cpme_intro/
-qed-.
-
-(* Main properties with evaluation for t-bound rt-transition on terms *****)
-
-theorem cnv_cpme_mono (h) (a) (n) (G) (L):
- ∀T. ⦃G,L⦄ ⊢ T ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T1⦄ →
- ∀T2. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T2⦄ → T1 = T2.
-#h #a #n #G #L #T0 #HT0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
-elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
-/3 width=7 by cprs_inv_cnr_sn, canc_dx_eq/
-qed-.