ord.thy
author lcp
Tue, 08 Nov 1994 11:21:33 +0100
changeset 166 c59c471126ab
parent 0 7949f97df77a
permissions -rw-r--r--
HOL/ROOT/HOL_dup_cs: removed as obsolete HOL/ROOT: now passes "classical" to Classical_Fun HOL/ROOT: no longer proves rev_cut_eq for hyp_subst_tac
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
0
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     1
Ord = HOL +
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     2
classes
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     3
  ord < term
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     4
consts
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     5
  "<", "<="     :: "['a::ord, 'a] => bool"              (infixl 50)
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     6
  mono		:: "['a::ord => 'b::ord] => bool"       (*monotonicity*)
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     7
  min,max	:: "['a::ord,'a] => 'a"
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     8
7949f97df77a Initial revision
clasohm
parents:
diff changeset
     9
rules
7949f97df77a Initial revision
clasohm
parents:
diff changeset
    10
7949f97df77a Initial revision
clasohm
parents:
diff changeset
    11
mono_def  "mono(f)  == (!A B. A <= B --> f(A) <= f(B))"
7949f97df77a Initial revision
clasohm
parents:
diff changeset
    12
min_def   "min(a,b) == if(a <= b, a, b)"
7949f97df77a Initial revision
clasohm
parents:
diff changeset
    13
max_def   "max(a,b) == if(a <= b, b, a)"
7949f97df77a Initial revision
clasohm
parents:
diff changeset
    14
7949f97df77a Initial revision
clasohm
parents:
diff changeset
    15
end