Theorem mofal 33870

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 33866	. 2 ⊢ ¬ ∃𝑥⊥
2		exmo 2600	. 2 ⊢ (∃𝑥⊥ ∨ ∃*𝑥⊥)
3	1, 2	mtpor 1772	1 ⊢ ∃*𝑥⊥

Syntax hints:  ⊥wfal 1550  ∃wex 1781  ∃*wmo 2596

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1911  ax-6 1970

This theorem depends on definitions:  df-bi 210  df-or 845  df-tru 1541  df-fal 1551  df-ex 1782  df-mo 2598

This theorem is referenced by:  nrmo  33871  amosym1  33887