]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lleq.ma
commit of the "computation" component with lazy pointwise extensions
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cpx_lleq.ma
index b34d4e95511749bdc16e2b6839973141f918c5b7..a6afafbdb8164a251b49de739cf1069801fcc326 100644 (file)
@@ -43,6 +43,10 @@ lemma lleq_cpx_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[h, g] T2 →
 ]
 qed-.
 
+lemma lleq_cpx_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_sn: ∀h,g,G. s_r_confluent1 … (cpx h g G) (lleq 0).
 /3 width=6 by llpx_sn_cpx_conf, lift_mono, ex2_intro/ qed-.