NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  foeq2 Unicode version

Theorem foeq2 5266
Description: Equality theorem for onto functions. (Contributed by set.mm contributors, 1-Aug-1994.)
Assertion
Ref Expression
foeq2

Proof of Theorem foeq2
StepHypRef Expression
1 fneq2 5174 . . 3
21anbi1d 685 . 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-fn 4790  df-fo 4793
This theorem is referenced by:  f1oeq2  5282
  Copyright terms: Public domain W3C validator