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(the bijections from A onto B)

Who Cites bijection type?
bijection_typeDef  A bij B == {f:(AB)| Bij(ABf) }
Thm*  A,B:Type. A bij B  Type
bijectDef  Bij(ABf) == Inj(ABf) & Surj(ABf)
Thm*  A,B:Type, f:(AB). Bij(ABf Prop
surjectDef  Surj(ABf) == b:Ba:Af(a) = b
Thm*  A,B:Type, f:(AB). Surj(ABf Prop
injectDef  Inj(ABf) == a1,a2:Af(a1) = f(a2 B  a1 = a2
Thm*  A,B:Type, f:(AB). Inj(ABf Prop

Syntax:A bij B has structure: bijection_type(AB)

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WhoCites Definitions DiscreteMath Sections DiscrMathExt Doc