ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  mo3 Structured version   Unicode version

Theorem mo3 1936
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/
21nfri 1393 . 2
32mo3h 1935 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wb 98  wal 1226   F/wnf 1329  wsb 1627  wmo 1883
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 617  ax-5 1316  ax-7 1317  ax-gen 1318  ax-ie1 1363  ax-ie2 1364  ax-8 1376  ax-10 1377  ax-11 1378  ax-i12 1379  ax-bnd 1380  ax-4 1381  ax-17 1400  ax-i9 1404  ax-ial 1409  ax-i5r 1410
This theorem depends on definitions:  df-bi 110  df-nf 1330  df-sb 1628  df-eu 1885  df-mo 1886
This theorem is referenced by:  sbmo  1941  rmo3  2826  isarep2  4912
  Copyright terms: Public domain W3C validator