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Theorem f1orel 5677
Description: A one-to-one onto mapping is a relation. (Contributed by NM, 13-Dec-2003.)
Assertion
Ref Expression
f1orel  |-  ( F : A -1-1-onto-> B  ->  Rel  F )

Proof of Theorem f1orel
StepHypRef Expression
1 f1ofun 5676 . 2  |-  ( F : A -1-1-onto-> B  ->  Fun  F )
2 funrel 5471 . 2  |-  ( Fun 
F  ->  Rel  F )
31, 2syl 16 1  |-  ( F : A -1-1-onto-> B  ->  Rel  F )
Colors of variables: wff set class
Syntax hints:    -> wi 4   Rel wrel 4883   Fun wfun 5448   -1-1-onto->wf1o 5453
This theorem is referenced by:  f1ococnv1  5704  isores1  6054  weisoeq2  6077  ssenen  7281  cantnffval2  7651  hasheqf1oi  11635  cmphaushmeo  17832  f1ocan2fv  26429  ltrncnvnid  30924
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 178  df-an 361  df-fun 5456  df-fn 5457  df-f 5458  df-f1 5459  df-f1o 5461
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