NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  moaneu Unicode version

Theorem moaneu 2263
Description: Nested "at most one" and uniqueness quantifiers. (Contributed by NM, 25-Jan-2006.)
Assertion
Ref Expression
moaneu

Proof of Theorem moaneu
StepHypRef Expression
1 eumo 2244 . . 3
2 nfeu1 2214 . . . 4  F/
32moanim 2260 . . 3
41, 3mpbir 200 . 2
5 ancom 437 . . 3
65mobii 2240 . 2
74, 6mpbir 200 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358  weu 2204  wmo 2205
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-eu 2208  df-mo 2209
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator