update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / tr_pap_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_eq.ma
index 0373fbd09b51a1c5e5ee7cf814fda04faec7c253..28a5af2642aa42025c7a20d1f22a34291bf05133 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_eq.ma
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_eq.ma
@@ -19,10 +19,9 @@ include "ground/relocation/tr_pap.ma".
 
 (* Main constructions with stream_eq ****************************************)
 
-(* Note: a better statement would be: tr_eq_repl … (λf1,f2. f1@❨i❩ = f2@❨i❩) *)
 (*** apply_eq_repl *)
-theorem apply_eq_repl (i):
-        ∀f1,f2. f1 ≗ f2 → f1@❨i❩ = f2@❨i❩.
+theorem tr_pap_eq_repl (i):
+        stream_eq_repl … (λf1,f2. f1@❨i❩ = f2@❨i❩).
 #i elim i -i [2: #i #IH ] * #p1 #f1 * #p2 #f2 #H
 elim (stream_eq_inv_cons_bi … H) -H [1,8: |*: // ] #Hp #Hf //
 <tr_pap_succ <tr_pap_succ /3 width=1 by eq_f2/