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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
index fb7dad498..7cf220ebd 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
@@ -30,7 +30,7 @@ qed.
 
 fact aaa_ind_csx_aux: ∀h,o,G,L,A. ∀R:predicate term.
                       (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛[h, o] T2 → ⊥) → R T2) → R T1
                       ) →
                       ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
 #h #o #G #L #A #R #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
@@ -38,14 +38,14 @@ qed-.
 
 lemma aaa_ind_csx: ∀h,o,G,L,A. ∀R:predicate term.
                    (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                         (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                         (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛[h, o] T2 → ⊥) → R T2) → R T1
                    ) →
                    ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
 /5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
 
 fact aaa_ind_csx_cpxs_aux: ∀h,o,G,L,A. ∀R:predicate term.
                            (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛[h, o] T2 → ⊥) → R T2) → R T1
                            ) →
                            ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
 #h #o #G #L #A #R #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
@@ -54,7 +54,7 @@ qed-.
 (* Basic_2A1: was: aaa_ind_csx_alt *)
 lemma aaa_ind_csx_cpxs: ∀h,o,G,L,A. ∀R:predicate term.
                         (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                              (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                              (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛[h, o] T2 → ⊥) → R T2) → R T1
                         ) →
                         ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
 /5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.