Theorem mofal 36375

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 36371	. 2 ⊢ ¬ ∃𝑥⊥
2		exmo 2545	. 2 ⊢ (∃𝑥⊥ ∨ ∃*𝑥⊥)
3	1, 2	mtpor 1768	1 ⊢ ∃*𝑥⊥

Syntax hints:  ⊥wfal 1549  ∃wex 1777  ∃*wmo 2541

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1793  ax-4 1807  ax-5 1909  ax-6 1967

This theorem depends on definitions:  df-bi 207  df-or 847  df-tru 1540  df-fal 1550  df-ex 1778  df-mo 2543

This theorem is referenced by:  nrmo  36376  amosym1  36392