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Theorem pweqd 3356
Description: Equality deduction for power class. (Contributed by NM, 27-Nov-2013.)
Hypothesis
Ref Expression
pweqd.1
Assertion
Ref Expression
pweqd  ~P  ~P

Proof of Theorem pweqd
StepHypRef Expression
1 pweqd.1 . 2
2 pweq 3354 . 2  ~P  ~P
31, 2syl 14 1  ~P  ~P
Colors of variables: wff set class
Syntax hints:   wi 4   wceq 1242   ~Pcpw 3351
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-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-11 1394  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-in 2918  df-ss 2925  df-pw 3353
This theorem is referenced by: (None)
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