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diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_append.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_append.ma
index 9d5dca4a6..8f5286c54 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_append.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_append.ma
@@ -19,13 +19,13 @@ include "basic_2/reduction/crx.ma".
 
 (* Advanved properties ******************************************************)
 
-lemma crx_append_sn: ∀h,g,L,K,T. ⦃h, L⦄ ⊢ 𝐑[g]⦃T⦄  → ⦃h, K @@ L⦄ ⊢ 𝐑[g]⦃T⦄.
-#h #g #L #K0 #T #H elim H -L -T /2 width=1/ /2 width=2/
+lemma crx_append_sn: ∀h,g,G,L,K,T. ⦃G, L⦄ ⊢ 𝐑[h, g]⦃T⦄  → ⦃G, K @@ L⦄ ⊢ 𝐑[h, g]⦃T⦄.
+#h #g #G #L #K0 #T #H elim H -L -T /2 width=1/ /2 width=2/
 #I #L #K #V #i #HLK
 lapply (ldrop_fwd_length_lt2 … HLK) #Hi
 lapply (ldrop_O1_append_sn_le … HLK … K0) -HLK /2 width=2/ -Hi /2 width=4/
 qed.
 
-lemma trx_crx: ∀h,g,L,T. ⦃h, ⋆⦄ ⊢ 𝐑[g]⦃T⦄ → ⦃h, L⦄ ⊢ 𝐑[g]⦃T⦄.
-#h #g #L #T #H lapply (crx_append_sn … H) //
+lemma trx_crx: ∀h,g,G,L,T. ⦃G, ⋆⦄ ⊢ 𝐑[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐑[h, g]⦃T⦄.
+#h #g #G #L #T #H lapply (crx_append_sn … H) //
 qed.