[isabelle-dev] Factorials and binomial coefficients

2009-01-29 Thread Tobias Nipkow
That theory should be cleaned up and separated into its core and the real-related lemmas that are trivial consequences. The real-related stuff should go where it is used, or better, be removed: eg real (fact n) = 0 is pointless, at least as a simp rule. Such cleaning up is greatly appreciated

[isabelle-dev] Factorials and binomial coefficients

2009-01-29 Thread Lawrence Paulson
This ancient development deserves whatever reorganisation you feel is appropriate. Larry On 29 Jan 2009, at 15:42, Amine Chaieb wrote: > Dear all, > > For now HOL/Fact.thy defines factorials (over natural numbers) and > strangely imports the reals. The theorem involving the reals, > however

[isabelle-dev] Factorials and binomial coefficients

2009-01-29 Thread Amine Chaieb
Dear all, For now HOL/Fact.thy defines factorials (over natural numbers) and strangely imports the reals. The theorem involving the reals, however, hold in any (ordered) (ring/field) of charachteristic Zero. Apart from that, I have a formalization of Pochhammer's symbol (raising factorials) wh