diff -r e4e64a0b0b6b -r ae18bb3075c3 src/HOL/Induct/Tree.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Induct/Tree.thy Fri Jul 16 14:03:03 1999 +0200 @@ -0,0 +1,27 @@ +(* Title: HOL/Induct/Tree.thy + ID: $Id$ + Author: Stefan Berghofer, TU Muenchen + Copyright 1999 TU Muenchen + +Infinitely branching trees +*) + +Tree = Main + + +datatype 'a tree = Atom 'a | Branch "nat => 'a tree" + +consts + map_tree :: "('a => 'b) => 'a tree => 'b tree" + +primrec + "map_tree f (Atom a) = Atom (f a)" + "map_tree f (Branch ts) = Branch (%x. map_tree f (ts x))" + +consts + exists_tree :: "('a => bool) => 'a tree => bool" + +primrec + "exists_tree P (Atom a) = P a" + "exists_tree P (Branch ts) = (? x. exists_tree P (ts x))" + +end