New Foundations Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  NFE Home  >  Th. List  >  mo4f Unicode version

Theorem mo4f 2236
 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 1619 . . 3
21mo3 2235 . 2
3 mo4f.1 . . . . . 6
4 mo4f.2 . . . . . 6
53, 4sbie 2038 . . . . 5
65anbi2i 675 . . . 4
76imbi1i 315 . . 3
872albii 1567 . 2
92, 8bitri 240 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wa 358  wal 1540  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:  mo4  2237  mob2  3016
 Copyright terms: Public domain W3C validator