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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma
index 93d8cd3de..b71b21075 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_teqo.ma
@@ -30,8 +30,8 @@ qed-.
 (* Note: probably this is an inversion lemma *)
 (* Basic_2A1: was: cpxs_fwd_delta *)
 lemma cpxs_fwd_delta_drops (h) (I) (G) (L) (K):
-      ∀V1,i. ⇩*[i] L ≘ K.ⓑ[I]V1 →
-      ∀V2. ⇧*[↑i] V1 ≘ V2 →
+      ∀V1,i. ⇩[i] L ≘ K.ⓑ[I]V1 →
+      ∀V2. ⇧[↑i] V1 ≘ V2 →
       ∀X2. ❪G,L❫ ⊢ #i ⬈*[h] X2 →
       ∨∨ #i ⩳ X2 | ❪G,L❫ ⊢ V2 ⬈*[h] X2.
 #h #I #G #L #K #V1 #i #HLK #V2 #HV12 #X2 #H
@@ -58,7 +58,7 @@ qed-.
 
 lemma cpxs_fwd_theta (h) (p) (G) (L):
            ∀V1,V,T,X2. ❪G,L❫ ⊢ ⓐV1.ⓓ[p]V.T ⬈*[h] X2 →
-           ∀V2. ⇧*[1] V1 ≘ V2 →
+           ∀V2. ⇧[1] V1 ≘ V2 →
            ∨∨ ⓐV1.ⓓ[p]V.T ⩳ X2 | ❪G,L❫ ⊢ ⓓ[p]V.ⓐV2.T ⬈*[h] X2.
 #h #p #G #L #V1 #V #T #X2 #H #V2 #HV12
 elim (cpxs_inv_appl1 … H) -H *
@@ -97,6 +97,6 @@ elim (cpxs_inv_cast1 … H) -H /2 width=1 by or3_intro1, or3_intro2/ *
 qed-.
 
 lemma cpxs_fwd_cnx (h) (G) (L):
-      ∀T1. ❪G,L❫ ⊢ ⬈[h] 𝐍❪T1❫ →
+      ∀T1. ❪G,L❫ ⊢ ⬈𝐍[h] T1 →
       ∀X2. ❪G,L❫ ⊢ T1 ⬈*[h] X2 → T1 ⩳ X2.
 /3 width=5 by cpxs_inv_cnx1, teqx_teqo/ qed-.