1 (**************************************************************************)
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/reducibility/lcpr_cpr.ma".
16 include "basic_2/computation/cprs.ma".
17 include "basic_2/computation/lcprs.ma".
19 (* CONTEXT-SENSITIVE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *************)
21 (* Advanced properties ******************************************************)
23 lemma lcprs_pair_dx: ∀I,L1,L2. L1 ⊢ ➡ L2 → ∀V1,V2. L2 ⊢ V1 ➡* V2 →
24 L1. ⓑ{I} V1 ⊢ ➡* L2. ⓑ{I} V2.
25 #I #L1 #L2 #HL12 #V1 #V2 #H @(cprs_ind … H) -V2
26 /3 width=1/ /3 width=5/