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Theorem unt0 25162
Description: The null set is untangled. (Contributed by Scott Fenton, 10-Mar-2011.) (Proof shortened by Andrew Salmon, 27-Aug-2011.)
Assertion
Ref Expression
unt0  |-  A. x  e.  (/)  -.  x  e.  x

Proof of Theorem unt0
StepHypRef Expression
1 ral0 3734 1  |-  A. x  e.  (/)  -.  x  e.  x
Colors of variables: wff set class
Syntax hints:   -. wn 3   A.wral 2707   (/)c0 3630
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419
This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-ral 2712  df-v 2960  df-dif 3325  df-nul 3631
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