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diff --git a/matita/matita/contribs/lambda_delta/Basic_2/grammar/lsubs.ma b/matita/matita/contribs/lambda_delta/Basic_2/grammar/lsubs.ma
index 1f750064e..2c27f0f9e 100644
--- a/matita/matita/contribs/lambda_delta/Basic_2/grammar/lsubs.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/grammar/lsubs.ma
@@ -20,11 +20,11 @@ inductive lsubs: nat → nat → relation lenv ≝
 | lsubs_sort: ∀d,e. lsubs d e (⋆) (⋆)
 | lsubs_OO:   ∀L1,L2. lsubs 0 0 L1 L2
 | lsubs_abbr: ∀L1,L2,V,e. lsubs 0 e L1 L2 →
-              lsubs 0 (e + 1) (L1. 𝕓{Abbr} V) (L2.𝕓{Abbr} V)
+              lsubs 0 (e + 1) (L1. ⓓV) (L2.ⓓV)
 | lsubs_abst: ∀L1,L2,I,V1,V2,e. lsubs 0 e L1 L2 →
-              lsubs 0 (e + 1) (L1. 𝕓{Abst} V1) (L2.𝕓{I} V2)
+              lsubs 0 (e + 1) (L1. ⓛV1) (L2.ⓑ{I} V2)
 | lsubs_skip: ∀L1,L2,I1,I2,V1,V2,d,e.
-              lsubs d e L1 L2 → lsubs (d + 1) e (L1. 𝕓{I1} V1) (L2. 𝕓{I2} V2)
+              lsubs d e L1 L2 → lsubs (d + 1) e (L1. ⓑ{I1} V1) (L2. ⓑ{I2} V2)
 .
 
 interpretation
@@ -46,7 +46,7 @@ lemma TC_lsubs_conf: ∀S,R. lsubs_conf S R → lsubs_conf S (λL. (TC … (R L)
 qed.
 
 lemma lsubs_bind_eq: ∀L1,L2,e. L1 [0, e] ≼ L2 → ∀I,V.
-                     L1. 𝕓{I} V [0, e + 1] ≼ L2.𝕓{I} V.
+                     L1. ⓑ{I} V [0, e + 1] ≼ L2.ⓑ{I} V.
 #L1 #L2 #e #HL12 #I #V elim I -I /2 width=1/
 qed.
 
@@ -58,7 +58,7 @@ lemma lsubs_refl: ∀d,e,L. L [d, e] ≼ L.
 qed.
 
 lemma lsubs_skip_lt: ∀L1,L2,d,e. L1 [d - 1, e] ≼ L2 → 0 < d →
-                     ∀I1,I2,V1,V2. L1. 𝕓{I1} V1 [d, e] ≼ L2. 𝕓{I2} V2.
+                     ∀I1,I2,V1,V2. L1. ⓑ{I1} V1 [d, e] ≼ L2. ⓑ{I2} V2.
 
 #L1 #L2 #d #e #HL12 #Hd >(plus_minus_m_m d 1) // /2 width=1/
 qed.
@@ -74,8 +74,7 @@ fact lsubs_fwd_length_full1_aux: ∀L1,L2,d,e. L1 [d, e] ≼ L2 →
 | /2 width=1/
 | /3 width=1/
 | /3 width=1/
-| #L1 #L2 #_ #_ #_ #_ #d #e #_ #_ #H
-  elim (plus_S_eq_O_false … H)
+| #L1 #L2 #_ #_ #_ #_ #d #e #_ #_ >commutative_plus normalize #H destruct
 ]
 qed.
 
@@ -89,8 +88,7 @@ fact lsubs_fwd_length_full2_aux: ∀L1,L2,d,e. L1 [d, e] ≼ L2 →
 | /2 width=1/
 | /3 width=1/
 | /3 width=1/
-| #L1 #L2 #_ #_ #_ #_ #d #e #_ #_ #H
-  elim (plus_S_eq_O_false … H)
+| #L1 #L2 #_ #_ #_ #_ #d #e #_ #_ >commutative_plus normalize #H destruct
 ]
 qed.