| Some definitions of interest. |
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deq | Def EqDecider(T) == eq:T T    x,y:T. x = y  (eq(x,y)) |
| | Thm* T:Type. EqDecider(T) Type |
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fpf-all | Def x dom(f). v=f(x)  P(x;v) == x:A. x dom(f)  P(x;f(x)) |
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assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
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bor | Def p  q == if p true else q fi |
| | Thm* p,q: . (p  q)  |
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eqof | Def eqof(d) == 1of(d) |
| | Thm* T:Type, d:EqDecider(T). eqof(d) T T   |
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fpf-single | Def x : v == <[x], x.v> |
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iff | Def P  Q == (P  Q) & (P  Q) |
| | Thm* A,B:Prop. (A  B) Prop |