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Theorem bnj1441 29149
 Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj1441.1
bnj1441.2
Assertion
Ref Expression
bnj1441
Distinct variable group:   ,
Allowed substitution hints:   (,,)   (,,)

Proof of Theorem bnj1441
StepHypRef Expression
1 df-rab 2706 . 2
2 bnj1441.1 . . . 4
3 bnj1441.2 . . . 4
42, 3hban 1850 . . 3
54hbab 2426 . 2
61, 5hbxfreq 2538 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 359  wal 1549   wcel 1725  cab 2421  crab 2701 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416 This theorem depends on definitions:  df-bi 178  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-rab 2706
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