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One-one correlation as a relation

Who Cites is one one corr rel?
is_one_one_corr_relDef  1-1-Corr x:A,y:BR(x;y) == (x:A!y:BR(x;y)) & (y:B!x:AR(x;y))
Thm*  A,B:Type, R:(ABProp). (1-1-Corr x:A,y:BR(x;y))  Prop
exists_uniqueDef  !x:AP(x) == x:A. x is the x:AP(x)
Thm*  A:Type, P:(AProp). (!x:AP(x))  Prop
is_theDef  x is the u:AP(u) == P(x) & (u:AP(u u = x)
Thm*  A:Type, P:(AProp), x:A. (x is the x:AP(x))  Prop

Syntax:1-1-Corr x:A,y:BR(x;y) has structure: is_one_one_corr_rel(ABx,y.R(x;y))

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WhoCites Definitions DiscreteMath Sections DiscrMathExt Doc