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Theorem pweqd 3515
 Description: Equality deduction for power class. (Contributed by NM, 27-Nov-2013.)
Hypothesis
Ref Expression
pweqd.1
Assertion
Ref Expression
pweqd

Proof of Theorem pweqd
StepHypRef Expression
1 pweqd.1 . 2
2 pweq 3513 . 2
31, 2syl 14 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1331  cpw 3510 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 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-11 1484  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-in 3077  df-ss 3084  df-pw 3512 This theorem is referenced by:  pmvalg  6553  basis1  12228  baspartn  12231  cldval  12282  ntrfval  12283  clsfval  12284  neifval  12323  mopnfss  12630
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