ex/natsum.thy~
author lcp
Thu, 21 Apr 1994 11:28:32 +0200
changeset 68 acad709cad5d
parent 63 94436622324d
permissions -rw-r--r--
tidied definitions and proofs
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
63
94436622324d Added some sums.
nipkow
parents:
diff changeset
     1
(*  Title: 	HOL/ex/sum.thy
94436622324d Added some sums.
nipkow
parents:
diff changeset
     2
    ID:         $Id$
94436622324d Added some sums.
nipkow
parents:
diff changeset
     3
    Author: 	Tobias Nipkow
94436622324d Added some sums.
nipkow
parents:
diff changeset
     4
    Copyright   1994 TU Muenchen
94436622324d Added some sums.
nipkow
parents:
diff changeset
     5
94436622324d Added some sums.
nipkow
parents:
diff changeset
     6
A summation operator
94436622324d Added some sums.
nipkow
parents:
diff changeset
     7
*)
94436622324d Added some sums.
nipkow
parents:
diff changeset
     8
94436622324d Added some sums.
nipkow
parents:
diff changeset
     9
NatSum = Arith +
94436622324d Added some sums.
nipkow
parents:
diff changeset
    10
consts sum :: "[nat=>nat, nat] => nat"
94436622324d Added some sums.
nipkow
parents:
diff changeset
    11
rules  sum_0   "sum(f,0) = 0"
94436622324d Added some sums.
nipkow
parents:
diff changeset
    12
       sum_Suc "sum(f,Suc(n)) = f(n) + sum(f,n)"
94436622324d Added some sums.
nipkow
parents:
diff changeset
    13
end