X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fpr_nexts_eq.ma;h=9e06b6fe76a36a1745900a9b9c55b1f7c77ca757;hb=873fb39bdd21aa14877bf5d50db26e3a050c6d43;hp=3ca8053d8cf0e9353c406c884fb3b112f50ac8ba;hpb=503500ff9a6d9cca363a42b5fe7f3f5de69239f9;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_nexts_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_nexts_eq.ma
index 3ca8053d8..9e06b6fe7 100644
--- a/matita/matita/contribs/lambdadelta/ground/relocation/pr_nexts_eq.ma
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_nexts_eq.ma
@@ -21,7 +21,7 @@ include "ground/relocation/pr_nexts.ma".
 
 (*** nexts_eq_repl *)
 lemma pr_nexts_eq_repl (n):
-      pr_eq_repl (λf1,f2. ↑*[n] f1 ≡ ↑*[n] f2).
+      pr_eq_repl (λf1,f2. ↑*[n] f1 ≐ ↑*[n] f2).
 #n @(nat_ind_succ … n) -n
 /3 width=5 by pr_eq_next/
 qed.
@@ -29,8 +29,8 @@ qed.
 (* Inversions with pr_eq ****************************************************)
 
 lemma pr_eq_inv_nexts_push_bi (f1) (f2) (n1) (n2):
-      ↑*[n1] ⫯f1 ≡ ↑*[n2] ⫯f2 →
-      ∧∧ n1 = n2 & f1 ≡ f2.
+      ↑*[n1] ⫯f1 ≐ ↑*[n2] ⫯f2 →
+      ∧∧ n1 = n2 & f1 ≐ f2.
 #f1 #f2
 #n1 @(nat_ind_succ … n1) -n1 [| #n1 #IH ]
 #n2 @(nat_ind_succ … n2) -n2 [2,4: #n2 #_ ]