Theorem mofal 37197

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 37193	. 2 ⊢ ¬ ∃𝑥⊥
2		exmo 2568	. 2 ⊢ (∃𝑥⊥ ∨ ∃*𝑥⊥)
3	1, 2	mtpor 1803	1 ⊢ ∃*𝑥⊥

This proof depends on syntax axioms:  ⊥wfal 1582  ∃wex 1812  ∃*wmo 2563

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842  ax-5 1943  ax-6 2000  ax-7 2041

This proof depends on definitions:  df-bi 210  df-an 402  df-or 862  df-tru 1573  df-fal 1583  df-ex 1813  df-mo 2565

This theorem is used by:  nrmo  37198  amosym1  37214