This is eta conversion. It is handled in HOL4 by the simplifier and both
HOL4 and HOL Light have conversions called “ETA_CONV” that are more low
level.

On 06/07/18 12:01, Dylan Melville wrote:
> Is there a tactical that shows that a term is equal to the same term with an 
> added abstraction, for example:
> 
> |- ( f:(num->bool) ) n <=> (\x:num. f:(num->bool) ) n
> 
> Or even more simply
> 
> |- f:(num->bool) <=> (\x:num. f:(num->bool) )
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