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- advances in the theory of cofrees
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index ce575a47b6d7c1b7504f348191b8a0c61ed58c47..2bcff48e41f9cdfc594fdd1694cecc0df551ba8d 100644 (file)
@@ -20,20 +20,20 @@ include "basic_2/computation/cpxs.ma".
 (* Properties on lazy equivalence for local environments ********************)
 
 lemma lleq_cpxs_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
-                       â\88\80L1. L1 â\8b\95[T1, 0] L2 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
+                       â\88\80L1. L1 â\89¡[T1, 0] L2 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
 #h #g #G #L2 #T1 #T2 #H @(cpxs_ind_dx … H) -T1
 /4 width=6 by cpx_lleq_conf_dx, lleq_cpx_trans, cpxs_strap2/
 qed-.
 
 lemma cpxs_lleq_conf: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
-                      â\88\80L1. L2 â\8b\95[T1, 0] L1 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
+                      â\88\80L1. L2 â\89¡[T1, 0] L1 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
 /3 width=3 by lleq_cpxs_trans, lleq_sym/ qed-.
 
 lemma cpxs_lleq_conf_dx: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
-                         â\88\80L1. L1 â\8b\95[T1, 0] L2 â\86\92 L1 â\8b\95[T2, 0] L2.
+                         â\88\80L1. L1 â\89¡[T1, 0] L2 â\86\92 L1 â\89¡[T2, 0] L2.
 #h #g #G #L2 #T1 #T2 #H @(cpxs_ind … H) -T2 /3 width=6 by cpx_lleq_conf_dx/
 qed-.
 
 lemma cpxs_lleq_conf_sn: ∀h,g,G,L1,T1,T2. ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2 →
-                         â\88\80L2. L1 â\8b\95[T1, 0] L2 â\86\92 L1 â\8b\95[T2, 0] L2.
+                         â\88\80L2. L1 â\89¡[T1, 0] L2 â\86\92 L1 â\89¡[T2, 0] L2.
 /4 width=6 by cpxs_lleq_conf_dx, lleq_sym/ qed-.