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Theorem mo4f 1957
Description: "At most one" expressed using implicit substitution. (Contributed by NM, 10-Apr-2004.)
Hypotheses
Ref Expression
mo4f.1  F/
mo4f.2
Assertion
Ref Expression
mo4f
Distinct variable groups:   ,   ,
Allowed substitution hints:   ()   (,)

Proof of Theorem mo4f
StepHypRef Expression
1 ax-17 1416 . . 3
21mo3h 1950 . 2
3 mo4f.1 . . . . . 6  F/
4 mo4f.2 . . . . . 6
53, 4sbie 1671 . . . . 5
65anbi2i 430 . . . 4
76imbi1i 227 . . 3
872albii 1357 . 2
92, 8bitri 173 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wb 98  wal 1240   F/wnf 1346  wsb 1642  wmo 1898
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-bndl 1396  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-sb 1643  df-eu 1900  df-mo 1901
This theorem is referenced by:  mo4  1958  mob2  2715  moop2  3979  dffun4f  4861
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