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Theorem feq3 5225
 Description: Equality theorem for functions. (Contributed by NM, 1-Aug-1994.)
Assertion
Ref Expression
feq3

Proof of Theorem feq3
StepHypRef Expression
1 sseq2 3089 . . 3
21anbi2d 457 . 2
3 df-f 5095 . 2
4 df-f 5095 . 2
52, 3, 43bitr4g 222 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103   wb 104   wceq 1314   wss 3039   crn 4508   wfn 5086  wf 5087 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1406  ax-7 1407  ax-gen 1408  ax-ie1 1452  ax-ie2 1453  ax-8 1465  ax-11 1467  ax-4 1470  ax-17 1489  ax-i9 1493  ax-ial 1497  ax-i5r 1498  ax-ext 2097 This theorem depends on definitions:  df-bi 116  df-nf 1420  df-sb 1719  df-clab 2102  df-cleq 2108  df-clel 2111  df-in 3045  df-ss 3052  df-f 5095 This theorem is referenced by:  feq23  5226  feq3d  5229  feq123d  5231  fun2  5264  fconstg  5287  f1eq3  5293  fsng  5559  fsn2  5560  fsnunf  5586  mapvalg  6518  mapsn  6550  lmff  12313  txcn  12339
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