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Theorem mo4f 2314
 Description: "At most one" expressed using implicit substitution. (Contributed by NM, 10-Apr-2004.)
Hypotheses
Ref Expression
mo4f.1
mo4f.2
Assertion
Ref Expression
mo4f
Distinct variable groups:   ,   ,
Allowed substitution hints:   ()   (,)

Proof of Theorem mo4f
StepHypRef Expression
1 nfv 1630 . . 3
21mo3 2313 . 2
3 mo4f.1 . . . . . 6
4 mo4f.2 . . . . . 6
53, 4sbie 2150 . . . . 5
65anbi2i 677 . . . 4
76imbi1i 317 . . 3
872albii 1577 . 2
92, 8bitri 242 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 178   wa 360  wal 1550  wnf 1554  wsb 1659  wmo 2283 This theorem is referenced by:  mo4  2315  mob2  3115  moop2  4452 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 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-eu 2286  df-mo 2287
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