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Theorem pwjust 3531
 Description: Soundness justification theorem for df-pw 3532. (Contributed by Rodolfo Medina, 28-Apr-2010.) (Proof shortened by Andrew Salmon, 29-Jun-2011.)
Assertion
Ref Expression
pwjust
Distinct variable groups:   ,   ,

Proof of Theorem pwjust
StepHypRef Expression
1 sseq1 3120 . . 3
21cbvabv 2368 . 2
3 sseq1 3120 . . 3
43cbvabv 2368 . 2
52, 4eqtri 2273 1
 Colors of variables: wff set class Syntax hints:   wceq 1619  cab 2239   wss 3078 This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10  ax-5 1533  ax-6 1534  ax-7 1535  ax-gen 1536  ax-8 1623  ax-11 1624  ax-17 1628  ax-12o 1664  ax-10 1678  ax-9 1684  ax-4 1692  ax-16 1926  ax-ext 2234 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1315  df-ex 1538  df-nf 1540  df-sb 1883  df-clab 2240  df-cleq 2246  df-clel 2249  df-in 3085  df-ss 3089
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