- some renaming according to the written version of basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / unfold / lstas_llpx_sn.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma
index afa9d46d3162a6eaea78701b1afe591d4070bc2d..db9cada18ea87160a2c5f497dcd48b9ac6531ef2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/unfold/lstas_llpx_sn.ma
@@ -19,26 +19,26 @@ include "basic_2/unfold/lstas.ma".
 
 (* Properties on lazy sn pointwise extensions *******************************)
 
-lemma lstas_llpx_sn_conf: ∀R. (∀L. reflexive … (R L)) → l_liftable R →
-                          ∀h,G,l. s_r_confluent1 … (lstas h l G) (llpx_sn R 0).
-#R #H1R #H2R #h #G #l #Ls #T1 #T2 #H elim H -G -Ls -T1 -T2 -l
+lemma lstas_llpx_sn_conf: ∀R. (∀L. reflexive … (R L)) → d_liftable R →
+                          ∀h,G,d. s_r_confluent1 … (lstas h d G) (llpx_sn R 0).
+#R #H1R #H2R #h #G #d #Ls #T1 #T2 #H elim H -G -Ls -T1 -T2 -d
 [ /3 width=4 by llpx_sn_fwd_length, llpx_sn_sort/
-| #G #Ls #Ks #V1s #V2s #W2s #i #l #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H
-  #Kd #V1d #HLKd #HV1s #HV1sd
+| #G #Ls #Ks #V1s #V2s #W2s #i #d #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H
+  #Kd #V1l #HLKd #HV1s #HV1sd
   lapply (drop_fwd_drop2 … HLKs) -HLKs #HLKs
   lapply (drop_fwd_drop2 … HLKd) -HLKd #HLKd
   @(llpx_sn_lift_le … HLKs HLKd … HVW2s) -HLKs -HLKd -HVW2s /2 width=1 by/ (**) (* full auto too slow *)
 | //
-| #G #Ls #Ks #V1s #V2s #W2s #i #l #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H
-  #Kd #V1d #HLKd #HV1s #HV1sd
+| #G #Ls #Ks #V1s #V2s #W2s #i #d #HLKs #_ #HVW2s #IHV12s #Ld #H elim (llpx_sn_inv_lref_ge_sn … H … HLKs) // -H
+  #Kd #V1l #HLKd #HV1s #HV1sd
   lapply (drop_fwd_drop2 … HLKs) -HLKs #HLKs
   lapply (drop_fwd_drop2 … HLKd) -HLKd #HLKd
   @(llpx_sn_lift_le … HLKs HLKd … HVW2s) -HLKs -HLKd -HVW2s /2 width=1 by/ (**) (* full auto too slow *)
-| #a #I #G #Ls #V #T1 #T2 #l #_ #IHT12 #Ld #H elim (llpx_sn_inv_bind_O … H) -H
+| #a #I #G #Ls #V #T1 #T2 #d #_ #IHT12 #Ld #H elim (llpx_sn_inv_bind_O … H) -H
   /4 width=5 by llpx_sn_bind_repl_SO, llpx_sn_bind/
-| #G #Ls #V #T1 #T2 #l #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H
+| #G #Ls #V #T1 #T2 #d #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H
   /3 width=1 by llpx_sn_flat/
-| #G #Ls #V #T1 #T2 #l #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H
+| #G #Ls #V #T1 #T2 #d #_ #IHT12 #Ld #H elim (llpx_sn_inv_flat … H) -H
   /3 width=1 by llpx_sn_flat/
 ]
 qed-.