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ex/NatSum.thy
author nipkow
Sun, 27 Mar 1994 16:43:06 +0200
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child 68 acad709cad5d
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(*  Title: 	HOL/ex/natsum.thy
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    ID:         $Id$
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    Author: 	Tobias Nipkow
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    Copyright   1994 TU Muenchen
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A summation operator. sum(f,n+1) is the sum of all f(i), i=0...n.













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*)













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NatSum = Arith +













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consts sum :: "[nat=>nat, nat] => nat"













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rules  sum_0   "sum(f,0) = 0"













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       sum_Suc "sum(f,Suc(n)) = f(n) + sum(f,n)"













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end















Old_HOL