*To*: John Matthews <matthews at galois.com>*Subject*: Re: [isabelle] Uses of type quantification*From*: Randy Pollack <rap at inf.ed.ac.uk>*Date*: Fri, 9 Sep 2005 10:33:57 +0100*Cc*: isabelle-users at cl.cam.ac.uk*In-reply-to*: <817439747567edb58bbd67d41ed34f6c@galois.com>*References*: <817439747567edb58bbd67d41ed34f6c@galois.com>

Last autumn I came across examples that would have been improved by some kind of type quantification in HOL. Problems arise in relating two polymorphic properties: (1) (all 'a. !!(x::'a). P x) ==> all 'a. !!(x::'a). Q x cannot be stated in HOL. Perhaps the reason this isn't seen as a common problem is that (1) can often be restated as (2) all 'a. (!!(x::'a). P x) ==> !!(x::'a). Q x However, in a locale with assumption (!!(x::'a). P x) one might expect to use the assumption at more than one type. Randy

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