X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcrx_append.ma;h=ca86ad11eecad464adc81368039999d6e6fabb20;hb=606dab57f31b66eb3f30f603185124b88dfad4c1;hp=8f5286c544288970a73228d7b7e54e6f3bd9be8a;hpb=8ed01fd6a38bea715ceb449bb7b72a46bad87851;p=helm.git

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 8f5286c54..ca86ad11e 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 +19,14 @@ include "basic_2/reduction/crx.ma".
 
 (* Advanved properties ******************************************************)
 
-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/
+lemma crx_append_sn: ∀h,g,G,L,K,T. ⦃G, L⦄ ⊢ ➡[h, g] 𝐑⦃T⦄  → ⦃G, K @@ L⦄ ⊢ ➡[h, g] 𝐑⦃T⦄.
+#h #g #G #L #K0 #T #H elim H -L -T
+/2 width=2 by crx_sort, crx_appl_sn, crx_appl_dx, crx_ri2, crx_ib2_sn, crx_ib2_dx, crx_beta, crx_theta/
 #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/
+lapply (ldrop_O1_append_sn_le … HLK … K0) -HLK /2 width=4 by crx_delta, lt_to_le/
 qed.
 
-lemma trx_crx: ∀h,g,G,L,T. ⦃G, ⋆⦄ ⊢ 𝐑[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐑[h, g]⦃T⦄.
+lemma trx_crx: ∀h,g,G,L,T. ⦃G, ⋆⦄ ⊢ ➡[h, g] 𝐑⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐑⦃T⦄.
 #h #g #G #L #T #H lapply (crx_append_sn … H) //
 qed.