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ex/NatSum.thy
author lcp
Thu, 21 Jul 1994 10:52:00 +0200
changeset 97 3f4976d8c97f
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permissions -rw-r--r--
HOL/Makefile: now test depends upon SUBST_FILES HOL/Makefile/SUBST_FILES: changed some filenames to upper case HOL/Makefile: now executes ex/ROOT.ML after Subst/ROOT.ML
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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















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