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Theorem f1oeq2 5282
Description: Equality theorem for one-to-one onto functions. (Contributed by set.mm contributors, 10-Feb-1997.)
Assertion
Ref Expression
f1oeq2

Proof of Theorem f1oeq2
StepHypRef Expression
1 f1eq2 5254 . . 3
2 foeq2 5266 . . 3
31, 2anbi12d 691 . 2
4 df-f1o 4794 . 2
5 df-f1o 4794 . 2
63, 4, 53bitr4g 279 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358   wceq 1642  wf1 4778  wfo 4779  wf1o 4780
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-cleq 2346  df-fn 4790  df-f 4791  df-f1 4792  df-fo 4793  df-f1o 4794
This theorem is referenced by:  f1oeq23  5284  resin  5307  f1osng  5323  isoeq4  5485  bren  6030
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