Some definitions of interest.
ball	Def x:T. P(x) == (x:T. P(x))
	Thm* T:Type, P:(T). (x:T. P(x))
band	Def pq == if p q else false fi
	Thm* p,q:. (pq)
bimplies	Def pq == p  q
	Thm* p,q:. pq
tlambda	Def (x:T. b(x))(x) == b(x)

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