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diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpme.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpme.ma
index 9e0da7d55..a3aa68739 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpme.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpme.ma
@@ -20,17 +20,17 @@ include "basic_2/dynamic/cnv_preserve.ma".
 
 (* Properties with t-bound evaluation on terms ******************************)
 
-lemma cnv_cpme_trans (a) (h) (n) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![a,h] →
-      ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T2 ![a,h].
-#a #h #n #G #L #T1 #HT1 #T2 * #HT12 #_
+lemma cnv_cpme_trans (h) (a) (n) (G) (L):
+      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] →
+      ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T2 ![h,a].
+#h #a #n #G #L #T1 #HT1 #T2 * #HT12 #_
 /2 width=4 by cnv_cpms_trans/
 qed-.
 
-lemma cnv_cpme_cpms_conf (a) (h) (n) (G) (L):
-      ∀T. ⦃G,L⦄ ⊢ T ![a,h] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[n,h] T1 →
+lemma cnv_cpme_cpms_conf (h) (a) (n) (G) (L):
+      ∀T. ⦃G,L⦄ ⊢ T ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[n,h] T1 →
       ∀T2. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T1 ➡*[h] 𝐍⦃T2⦄.
-#a #h #n #G #L #T0 #HT0 #T1 #HT01 #T2 * #HT02 #HT2
+#h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 * #HT02 #HT2
 elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
 lapply (cprs_inv_cnr_sn … HT20 HT2) -HT20 #H destruct
 /2 width=1 by cpme_intro/
@@ -38,10 +38,10 @@ qed-.
 
 (* Main properties with evaluation for t-bound rt-transition on terms *****)
 
-theorem cnv_cpme_mono (a) (h) (n) (G) (L):
-        ∀T. ⦃G,L⦄ ⊢ T ![a,h] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T1⦄ →
+theorem cnv_cpme_mono (h) (a) (n) (G) (L):
+        ∀T. ⦃G,L⦄ ⊢ T ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T1⦄ →
         ∀T2. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T2⦄ → T1 = T2.
-#a #h #n #G #L #T0 #HT0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
+#h #a #n #G #L #T0 #HT0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
 elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
 /3 width=7 by cprs_inv_cnr_sn, canc_dx_eq/
 qed-.