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

Theorem moani 2067
 Description: "At most one" is still true when a conjunct is added. (Contributed by NM, 9-Mar-1995.)
Hypothesis
Ref Expression
moani.1
Assertion
Ref Expression
moani

Proof of Theorem moani
StepHypRef Expression
1 moani.1 . 2
2 moan 2066 . 2
31, 2ax-mp 5 1
 Colors of variables: wff set class Syntax hints:   wa 103  wmo 1998 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515 This theorem depends on definitions:  df-bi 116  df-nf 1437  df-sb 1736  df-eu 2000  df-mo 2001 This theorem is referenced by:  euxfr2dc  2864  fvopab6  5510  1stconst  6111  2ndconst  6112  axaddf  7669  axmulf  7670
 Copyright terms: Public domain W3C validator