]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_closed.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / lift_rmap_closed.ma
index 56abc470717544ad2e53d3aa681608f48a349dcf..1fd176270d332f83b81c716b3c99649e6d9d4c79 100644 (file)
@@ -22,7 +22,7 @@ include "ground/lib/stream_eq_eq.ma".
 
 lemma tls_plus_lift_rmap_closed (o) (f) (q) (n):
       q Ļµ š‚āØo,nā© ā†’
-      āˆ€m. ā‡‚*[m]f ā‰— ā‡‚*[m+n]ā†‘[q]f.
+      āˆ€m. ā‡‚*[m]f ā‰— ā‡‚*[m+n]šŸ ¢[f]q.
 #o #f #q #n #Hq elim Hq -q -n //
 #q #n #_ #IH #m
 <nplus_succ_dx <stream_tls_swap //
@@ -30,14 +30,14 @@ qed-.
 
 lemma tls_lift_rmap_closed (o) (f) (q) (n):
       q Ļµ š‚āØo,nā© ā†’
-      f ā‰— ā‡‚*[n]ā†‘[q]f.
+      f ā‰— ā‡‚*[n]šŸ ¢[f]q.
 #o #f #q #n #H0
 /2 width=2 by tls_plus_lift_rmap_closed/
 qed-.
 
 lemma tls_succ_lift_rmap_append_L_closed_dx (o) (f) (p) (q) (n):
       q Ļµ š‚āØo,nā© ā†’
-      ā†‘[p]f ā‰— ā‡‚*[ā†‘n]ā†‘[pā—š—Ÿā——q]f.
+      šŸ ¢[f]p ā‰— ā‡‚*[ā†‘n]šŸ ¢[f](pā—š—Ÿā——q).
 #o #f #p #q #n #Hq
 /3 width=2 by tls_lift_rmap_closed, pcc_L_sn/
 qed-.