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Theorem fveqeq2d 5436
 Description: Equality deduction for function value. (Contributed by BJ, 30-Aug-2022.)
Hypothesis
Ref Expression
fveqeq2d.1
Assertion
Ref Expression
fveqeq2d

Proof of Theorem fveqeq2d
StepHypRef Expression
1 fveqeq2d.1 . . 3
21fveq2d 5432 . 2
32eqeq1d 2149 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 104   wceq 1332  cfv 5130 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-io 699  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1483  ax-10 1484  ax-11 1485  ax-i12 1486  ax-bndl 1487  ax-4 1488  ax-17 1507  ax-i9 1511  ax-ial 1515  ax-i5r 1516  ax-ext 2122 This theorem depends on definitions:  df-bi 116  df-3an 965  df-tru 1335  df-nf 1438  df-sb 1737  df-clab 2127  df-cleq 2133  df-clel 2136  df-nfc 2271  df-rex 2423  df-v 2691  df-un 3079  df-sn 3537  df-pr 3538  df-op 3540  df-uni 3744  df-br 3937  df-iota 5095  df-fv 5138 This theorem is referenced by:  fveqeq2  5437  enmkvlem  7042  algcvga  11766  pilem3  12910
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