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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
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15 include "basic_2/reducibility/tpr_tpr.ma".
16 include "basic_2/reducibility/ltpr.ma".
18 (* CONTEXT-FREE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ********************)
20 (* Main properties **********************************************************)
22 theorem ltpr_conf: ∀L0:lenv. ∀L1. L0 ➡ L1 → ∀L2. L0 ➡ L2 →
24 #L0 #L1 #H elim H -L0 -L1 /2 width=3/
25 #K0 #K1 #I #V0 #V1 #_ #HV01 #IHK01 #L2 #H
26 elim (ltpr_inv_pair1 … H) -H #K2 #V2 #HK02 #HV02 #H destruct
27 elim (IHK01 … HK02) -K0 #K #HK1 #HK2
28 elim (tpr_conf … HV01 HV02) -V0 /3 width=5/