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Theorem elpwid 3369
 Description: An element of a power class is a subclass. Deduction form of elpwi 3368. (Contributed by David Moews, 1-May-2017.)
Hypothesis
Ref Expression
elpwid.1
Assertion
Ref Expression
elpwid

Proof of Theorem elpwid
StepHypRef Expression
1 elpwid.1 . 2
2 elpwi 3368 . 2
31, 2syl 14 1
 Colors of variables: wff set class Syntax hints:   wi 4   wcel 1393   wss 2917  cpw 3359 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-nfc 2167  df-v 2559  df-in 2924  df-ss 2931  df-pw 3361 This theorem is referenced by:  fopwdom  6310  elnp1st2nd  6574  ixxssxr  8769  elfzoelz  9004
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