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Theorem bnj524 31894
Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj524.1 (𝜑𝜓)
bnj524.2 𝐴 ∈ V
Assertion
Ref Expression
bnj524 ([𝐴 / 𝑥]𝜑[𝐴 / 𝑥]𝜓)

Proof of Theorem bnj524
StepHypRef Expression
1 bnj524.1 . 2 (𝜑𝜓)
21sbcbii 3833 1 ([𝐴 / 𝑥]𝜑[𝐴 / 𝑥]𝜓)
Colors of variables: wff setvar class
Syntax hints:  wb 207  wcel 2107  Vcvv 3500  [wsbc 3776
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1904  ax-6 1963  ax-7 2008  ax-8 2109  ax-9 2117  ax-ext 2798
This theorem depends on definitions:  df-bi 208  df-an 397  df-tru 1533  df-ex 1774  df-sb 2063  df-clab 2805  df-cleq 2819  df-clel 2898  df-sbc 3777
This theorem is referenced by: (None)
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