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Theorem isof1o 5488
Description: An isomorphism is a one-to-one onto function. (Contributed by set.mm contributors, 27-Apr-2004.)
Assertion
Ref Expression
isof1o

Proof of Theorem isof1o
Dummy variables are mutually distinct and distinct from all other variables.
StepHypRef Expression
1 df-iso 4796 . 2
21simplbi 446 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176  wral 2614   class class class wbr 4639  wf1o 4780  cfv 4781   wiso 4782
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-iso 4796
This theorem is referenced by:  isomin  5496  isoini  5497  isoini2  5498
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