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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/reducibility/cpr_cpr.ma".
16 include "basic_2/reducibility/cfpr.ma".
18 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON CLOSURES *************************)
20 (* Main properties **********************************************************)
22 theorem cfpr_conf: ∀L. bi_confluent … (cfpr L).
23 #L #L0 #L1 #T0 #T1 * #HL01 #HT01 #L2 #T2 * >HL01 #HL12 #HT02
24 elim (cpr_conf … HT01 HT02) -L0 -T0 #X #H1 #H2
25 elim (cpr_fwd_shift1 … H1) #L0 #T0 #HL10 #H destruct /3 width=5/