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Theorem mo3 2311
 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 2309 . 2
31mo 2302 . 2
42, 3bitri 241 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wa 359  wal 1549  wex 1550  wnf 1553  wsb 1658  wmo 2281 This theorem is referenced by:  mo4f  2312  mopick  2342  rmo3  3240  isarep2  5525  mo5f  23964  rmo3f  23974  rmo4fOLD  23975  pm14.12  27589  bnj580  29221 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 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-eu 2284  df-mo 2285
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