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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 "basic_2/rt_transition/rpx_reqx.ma".
16 include "basic_2/rt_transition/cnx.ma".
18 (* NORMAL TERMS FOR EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION *******)
20 (* Advanced properties ******************************************************)
22 lemma cnx_teqx_trans (G) (L):
23 ∀T1. ❪G,L❫ ⊢ ⬈𝐍 T1 → ∀T2. T1 ≛ T2 → ❪G,L❫ ⊢ ⬈𝐍 T2.
24 #G #L #T1 #HT1 #T2 #HT12 #T #HT2
25 lapply (teqx_cpx_trans … HT12 … HT2) -HT2 #H
26 lapply (HT1 … H) -HT1 -H /2 width=5 by teqx_canc_sn/ (**) (* full auto fails *)