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Theorem moi2 3280
 Description: Consequence of "at most one." (Contributed by NM, 29-Jun-2008.)
Hypothesis
Ref Expression
moi2.1
Assertion
Ref Expression
moi2
Distinct variable groups:   ,   ,

Proof of Theorem moi2
StepHypRef Expression
1 moi2.1 . . . . 5
21mob2 3279 . . . 4
323expa 1196 . . 3
43biimprd 223 . 2
54impr 619 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  <->wb 184  /\wa 369  =wceq 1395  e.wcel 1818  E*wmo 2283 This theorem is referenced by:  fsum  13542  fprod  13748  txcn  20127  haustsms2  20635 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 975  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-mo 2287  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-v 3111
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