# HG changeset patch
# User oheimb
# Date 884278592 -3600
# Node ID ff22e16c5f2ff746146d5805ffdc634218e876cc
# Parent  4878fb3d0ac576c20893a8203674e6b3b8ad1be6
added Univalent

diff -r 4878fb3d0ac5 -r ff22e16c5f2f src/HOL/Relation.thy
--- a/src/HOL/Relation.thy	Thu Jan 08 17:47:22 1998 +0100
+++ b/src/HOL/Relation.thy	Thu Jan 08 17:56:32 1998 +0100
@@ -8,17 +8,19 @@
 consts
     id          :: "('a * 'a)set"               (*the identity relation*)
     O           :: "[('b * 'c)set, ('a * 'b)set] => ('a * 'c)set" (infixr 60)
-    trans       :: "('a * 'a)set => bool"       (*transitivity predicate*)
     inverse    :: "('a*'b) set => ('b*'a) set"     ("(_^-1)" [1000] 999)
     "^^"        :: "[('a*'b) set,'a set] => 'b set" (infixl 90)
     Domain      :: "('a*'b) set => 'a set"
     Range       :: "('a*'b) set => 'b set"
+    trans       :: "('a * 'a)set => bool"       (*transitivity predicate*)
+    Univalent   :: "('a * 'b)set => bool"
 defs
     id_def        "id == {p. ? x. p = (x,x)}"
     comp_def      "r O s == {(x,z). ? y. (x,y):s & (y,z):r}"
-    trans_def     "trans(r) == (!x y z. (x,y):r --> (y,z):r --> (x,z):r)"
     inverse_def   "r^-1 == {(y,x). (x,y):r}"
     Domain_def    "Domain(r) == {x. ? y. (x,y):r}"
     Range_def     "Range(r) == Domain(r^-1)"
     Image_def     "r ^^ s == {y. ? x:s. (x,y):r}"
+    trans_def     "trans(r) == (!x y z. (x,y):r --> (y,z):r --> (x,z):r)"
+    Univalent_def "Univalent r == !x y. (x,y):r --> (!z. (x,z):r --> y=z)"
 end