Theorem mofal 37321

Description: There exist at most one set such that ⊥ is true. (Contributed by Anthony Hart, 13-Sep-2011.)

Assertion

Ref	Expression
mofal	⊢ ∃*𝑥⊥

Proof of Theorem mofal

Step	Hyp	Ref	Expression
1		nexfal 37317	. 2 ⊢ ¬ ∃𝑥⊥
2		exmo 2567	. 2 ⊢ (∃𝑥⊥ ∨ ∃*𝑥⊥)
3	1, 2	mtpor 1802	1 ⊢ ∃*𝑥⊥

This proof depends on syntax axioms:  ⊥wfal 1581  ∃wex 1811  ∃*wmo 2562

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1827  ax-4 1841  ax-5 1942  ax-6 1999  ax-7 2040

This proof depends on definitions:  df-bi 210  df-an 402  df-or 862  df-tru 1572  df-fal 1582  df-ex 1812  df-mo 2564

This theorem is used by:  nrmo  37322  amosym1  37338