update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / fsubst_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/fsubst_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/fsubst_eq.ma
index a6681b59227b68d7a15df0915012b0c13dc86eaa..a3a3494191ad176fd4a62cea1cb261669c1fc2a4 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/fsubst_eq.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/fsubst_eq.ma
@@ -13,7 +13,7 @@
 (**************************************************************************)
 
 include "delayed_updating/substitution/fsubst.ma".
-include "delayed_updating/syntax/prototerm_equivalence.ma".
+include "delayed_updating/syntax/prototerm_eq.ma".
 
 (* Constructions with subset_equivalence ************************************)
 
@@ -26,8 +26,8 @@ lemma subset_inclusion_fsubst_bi (t1) (t2) (u1) (u2) (p):
 ]
 qed.
 
-lemma fsubst_eq_repl (t1) (t2) (u1) (u2) (p):
-      t1 ⇔ t2 → u1 ⇔ u2 → t1[⋔p←u1] ⇔ t2[⋔p←u2].
-#t1 #t2 #u1 #u2 #p * #H1t #H2t * #H1u #H2u
+lemma fsubst_eq_repl (t1) (t2) (u1) (u2) (p1) (p2):
+      t1 ⇔ t2 → p1 = p2 → u1 ⇔ u2 → t1[⋔p1←u1] ⇔ t2[⋔p2←u2].
+#t1 #t2 #u1 #u2 #p1 #p2 * #H1t #H2t #Hp * #H1u #H2u
 /3 width=5 by conj, subset_inclusion_fsubst_bi/
 qed.