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Theorem fveq12d 5235
 Description: Equality deduction for function value. (Contributed by FL, 22-Dec-2008.)
Hypotheses
Ref Expression
fveq12d.1
fveq12d.2
Assertion
Ref Expression
fveq12d

Proof of Theorem fveq12d
StepHypRef Expression
1 fveq12d.1 . . 3
21fveq1d 5231 . 2
3 fveq12d.2 . . 3
43fveq2d 5233 . 2
52, 4eqtrd 2115 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1285  cfv 4952 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-10 1437  ax-11 1438  ax-i12 1439  ax-bndl 1440  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2065 This theorem depends on definitions:  df-bi 115  df-3an 922  df-tru 1288  df-nf 1391  df-sb 1688  df-clab 2070  df-cleq 2076  df-clel 2079  df-nfc 2212  df-rex 2359  df-v 2612  df-un 2986  df-sn 3422  df-pr 3423  df-op 3425  df-uni 3622  df-br 3806  df-iota 4917  df-fv 4960 This theorem is referenced by:  nffvd  5238  fvsng  5411  tfrlem3ag  5978  tfrlem3a  5979  tfrlemi1  6001  tfr1onlem3ag  6006  climshft2  10346
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