]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/static_2/relocation/sex_length.ma
partial commit in static_2
[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / sex_length.ma
index a7b2a5d718fa202536f3f310be29c660496e23fb..c99c786c68d41be159f2a31c71b5b041e005f3de 100644 (file)
@@ -20,27 +20,27 @@ include "static_2/relocation/sex.ma".
 (* Forward lemmas with length for local environments ************************)
 
 (* Note: "#f #I1 #I2 #L1 #L2 >length_bind >length_bind //" was needed to conclude *)
-lemma sex_fwd_length: ∀RN,RP,f,L1,L2. L1 ⪤[RN, RP, f] L2 → |L1| = |L2|.
+lemma sex_fwd_length: ∀RN,RP,f,L1,L2. L1 ⪤[RN,RP,f] L2 → |L1| = |L2|.
 #RN #RP #f #L1 #L2 #H elim H -f -L1 -L2 //
 qed-.
 
 (* Properties with length for local environments ****************************)
 
-lemma sex_length_cfull: ∀L1,L2. |L1| = |L2| → ∀f. L1 ⪤[cfull, cfull, f] L2.
+lemma sex_length_cfull: ∀L1,L2. |L1| = |L2| → ∀f. L1 ⪤[cfull,cfull,f] L2.
 #L1 elim L1 -L1
 [ #Y2 #H >(length_inv_zero_sn … H) -Y2 //
 | #L1 #I1 #IH #Y2 #H #f
   elim (length_inv_succ_sn … H) -H #I2 #L2 #HL12 #H destruct
-  elim (pn_split f) * #g #H destruct /3 width=1 by sex_next, sex_push/
+  elim (pr_map_split_tl f) * #g #H destruct /3 width=1 by sex_next, sex_push/
 ]
 qed.
 
 lemma sex_length_isid: ∀R,L1,L2. |L1| = |L2| →
-                       â\88\80f. ð\9d\90\88â¦\83fâ¦\84 â\86\92 L1 âª¤[R, cfull, f] L2.
+                       â\88\80f. ð\9d\90\88â\9dªfâ\9d« â\86\92 L1 âª¤[R,cfull,f] L2.
 #R #L1 elim L1 -L1
 [ #Y2 #H >(length_inv_zero_sn … H) -Y2 //
 | #L1 #I1 #IH #Y2 #H #f #Hf
   elim (length_inv_succ_sn … H) -H #I2 #L2 #HL12 #H destruct
-  elim (isid_inv_gen … Hf) -Hf #g #Hg #H destruct /3 width=1 by sex_push/
+  elim (pr_isi_inv_gen … Hf) -Hf #g #Hg #H destruct /3 width=1 by sex_push/
 ]
 qed.