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

Theorem mosub 2862
 Description: "At most one" remains true after substitution. (Contributed by NM, 9-Mar-1995.)
Hypothesis
Ref Expression
mosub.1
Assertion
Ref Expression
mosub
Distinct variable group:   ,,
Allowed substitution hints:   (,)

Proof of Theorem mosub
StepHypRef Expression
1 mosubt 2861 . 2
2 mosub.1 . 2
31, 2mpg 1427 1
 Colors of variables: wff set class Syntax hints:   wa 103   wceq 1331  wex 1468  wmo 2000 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  ax-ext 2121 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-eu 2002  df-mo 2003  df-clab 2126  df-cleq 2132  df-clel 2135  df-v 2688 This theorem is referenced by: (None)
 Copyright terms: Public domain W3C validator