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Theorem mo3 2144
 Description: Alternate definition of "at most one." Definition of [BellMachover] p. 460, except that definition has the side condition that not occur in in place of our hypothesis. (Contributed by NM, 8-Mar-1995.)
Hypothesis
Ref Expression
mo3.1
Assertion
Ref Expression
mo3
Distinct variable group:   ,
Allowed substitution hints:   (,)

Proof of Theorem mo3
StepHypRef Expression
1 mo3.1 . . 3
21mo2 2142 . 2
31mo 2135 . 2
42, 3bitri 242 1
 Colors of variables: wff set class Syntax hints:   wi 6   wb 178   wa 360  wal 1532  wex 1537  wnf 1539  wsb 1882  wmo 2115 This theorem is referenced by:  mo4f  2145  mopick  2175  rmo3  3006  isarep2  5189  isconcl5a  25267  isconcl5ab  25268  pm14.12  26788  bnj580  27634 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 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-eu 2118  df-mo 2119
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