Thms bool 1 Doc

nequal Def abT == a = b T

Thm* x,y:A. xy Prop

eq_int Def i=j == if i=jtrue; false fi

Thm* i,j:. i=j

assert Def b == if b True else False fi

Thm* b:. b Prop

not Def A == A False

Thm* (A) Prop

iff Def P Q == (P Q) & (P Q)

Thm* (A B) Prop

bfalse Def false ==

Thm* false

btrue Def true ==

Thm* true

ifthenelse Def if b t else f fi == dec(b ; t; f)

Thm* b:, A:Type, p,q:A. if b p else q fi A

rev_implies Def P Q == Q P

Thm* (A B) Prop