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Theorem foeq3 5267
Description: Equality theorem for onto functions. (Contributed by set.mm contributors, 1-Aug-1994.)
Assertion
Ref Expression
foeq3

Proof of Theorem foeq3
StepHypRef Expression
1 eqeq2 2362 . . 3
21anbi2d 684 . 2
3 df-fo 4793 . 2
4 df-fo 4793 . 2
52, 3, 43bitr4g 279 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358   wceq 1642   crn 4773   wfn 4776  wfo 4779
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-fo 4793
This theorem is referenced by:  f1oeq3  5283  resdif  5306  ffoss  5314
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