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Theorem bnj1213 29926
Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj1213.1 𝐴𝐵
bnj1213.2 (𝜃𝑥𝐴)
Assertion
Ref Expression
bnj1213 (𝜃𝑥𝐵)

Proof of Theorem bnj1213
StepHypRef Expression
1 bnj1213.1 . 2 𝐴𝐵
2 bnj1213.2 . 2 (𝜃𝑥𝐴)
31, 2sseldi 3562 1 (𝜃𝑥𝐵)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wcel 1976  wss 3536
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1712  ax-4 1727  ax-5 1826  ax-6 1874  ax-7 1921  ax-10 2005  ax-11 2020  ax-12 2032  ax-13 2229  ax-ext 2586
This theorem depends on definitions:  df-bi 195  df-or 383  df-an 384  df-tru 1477  df-ex 1695  df-nf 1700  df-sb 1867  df-clab 2593  df-cleq 2599  df-clel 2602  df-in 3543  df-ss 3550
This theorem is referenced by:  bnj1212  29927  bnj1173  30127  bnj1296  30146  bnj1408  30161  bnj1452  30177  bnj1523  30196
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