some resuls on pointwise extensions (all of them are now in the

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cpx_lleq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma
index d2703ad7ce47c837baa5d1beaafb0c41eb28ce5e..7779c7f923331a3be017bb1303c8f41df347c358 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/lleq_ldrop.ma".
+include "basic_2/substitution/lleq_ldrop.ma".
 include "basic_2/reduction/cpx_llpx_sn.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED PARALLEL REDUCTION FOR TERMS ******************)
@@ -43,10 +43,13 @@ lemma lleq_cpx_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
 ]
 qed-.
 
-lemma lleq_cpx_conf_sn: ∀h,g,G,L1,T1,T2. ⦃G, L1⦄ ⊢ T1 ➡[h, g] T2 →
-                        ∀L2. L1 ⋕[T1, 0] L2 → L1 ⋕[T2, 0] L2.
-/3 width=6 by llpx_sn_cpx_conf, lift_mono, ex2_intro/ qed-.
+lemma cpx_lleq_conf: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
+                     ∀L1. L2 ⋕[T1, 0] L1 → ⦃G, L1⦄ ⊢ T1 ➡[h, g] T2.
+/3 width=3 by lleq_cpx_trans, lleq_sym/ qed-.
 
-lemma lleq_cpx_conf_dx: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
+lemma cpx_lleq_conf_sn: ∀h,g,G. s_r_confluent1 … (cpx h g G) (lleq 0).
+/3 width=6 by cpx_llpx_sn_conf, lift_mono, ex2_intro/ qed-.
+
+lemma cpx_lleq_conf_dx: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
                         ∀L1. L1 ⋕[T1, 0] L2 → L1 ⋕[T2, 0] L2.
-/4 width=6 by lleq_cpx_conf_sn, lleq_sym/ qed-.
+/4 width=6 by cpx_lleq_conf_sn, lleq_sym/ qed-.