MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  exmoeu2 Unicode version

Theorem exmoeu2 2311
Description: Existence implies "at most one" is equivalent to uniqueness. (Contributed by NM, 5-Apr-2004.)
Assertion
Ref Expression
exmoeu2

Proof of Theorem exmoeu2
StepHypRef Expression
1 eu5 2310 . 2
21baibr 904 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  E.wex 1612  E!weu 2282  E*wmo 2283
This theorem is referenced by:  fneu  5690
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-eu 2286  df-mo 2287
  Copyright terms: Public domain W3C validator