+++ /dev/null
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-(* ___ *)
-(* ||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/cpms_cnu.ma".
-include "basic_2/rt_computation/cpue.ma".
-include "basic_2/dynamic/cnv_preserve.ma".
-
-(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
-
-(* Properties with evaluation for t-unbound rt-transition on terms **********)
-
-lemma cnv_cpue_trans (a) (h) (G) (L):
- ∀T1. ⦃G,L⦄ ⊢ T1 ![a,h] →
- ∀T2. ⦃G,L⦄ ⊢ T1 ⥲*[h] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T2 ![a,h].
-#a #h #G #L #T1 #HT1 #T2 * #n #HT12 #_
-/2 width=4 by cnv_cpms_trans/
-qed-.
-
-lemma cnv_cpue_cpms_conf (a) (h) (n) (G) (L):
- ∀T0. ⦃G,L⦄ ⊢ T0 ![a,h] → ∀T1. ⦃G,L⦄ ⊢ T0 ➡*[n,h] T1 →
- ∀T2. ⦃G,L⦄ ⊢ T0 ⥲*[h] 𝐍⦃T2⦄ →
- ∃∃T. ⦃G,L⦄ ⊢ T1 ⥲*[h] 𝐍⦃T⦄ & T2 ≅ T.
-#a #h #n1 #G #L #T0 #HT0 #T1 #HT01 #T2 * #n2 #HT02 #HT2
-elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 #T0 #HT10 #HT20
-lapply (cpms_inv_cnu_sn … HT20 HT2) -HT20 #HT20
-/4 width=8 by cnu_tueq_trans, ex2_intro/
-qed-.
-
-(* Main properties with evaluation for t-unbound rt-transition on terms *****)
-
-theorem cnv_cpue_mono (a) (h) (G) (L):
- ∀T0. ⦃G,L⦄ ⊢ T0 ![a,h] → ∀T1. ⦃G,L⦄ ⊢ T0 ⥲*[h] 𝐍⦃T1⦄ →
- ∀T2. ⦃G,L⦄ ⊢ T0 ⥲*[h] 𝐍⦃T2⦄ → T1 ≅ T2.
-#a #h #G #L #T0 #HT0 #T1 * #n1 #HT01 #HT1 #T2 * #n2 #HT02 #HT2
-elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 #T0 #HT10 #HT20
-/3 width=8 by cpms_inv_cnu_sn, tueq_canc_dx/
-qed-.