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Theorem mo3 2235
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  F/
Assertion
Ref Expression
mo3
Distinct variable group:   ,
Allowed substitution hints:   (,)

Proof of Theorem mo3
StepHypRef Expression
1 mo3.1 . . 3  F/
21mo2 2233 . 2
31mo 2226 . 2
42, 3bitri 240 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358  wal 1540  wex 1541   F/wnf 1544  wsb 1648  wmo 2205
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-eu 2208  df-mo 2209
This theorem is referenced by:  mo4f  2236  mopick  2266  rmo3  3133
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