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Theorem moaneu 2354
Description: Nested "at most one" and uniqueness quantifiers. (Contributed by NM, 25-Jan-2006.) (Proof shortened by Wolf Lammen, 27-Dec-2018.)
Assertion
Ref Expression
moaneu

Proof of Theorem moaneu
StepHypRef Expression
1 moanmo 2353 . 2
2 eumo 2313 . . . 4
32anim2i 569 . . 3
43moimi 2340 . 2
51, 4ax-mp 5 1
Colors of variables: wff setvar class
Syntax hints:  /\wa 369  E!weu 2282  E*wmo 2283
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  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854
This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287
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