Theorem mof 31579

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

Assertion

Ref	Expression
mof	⊢ ∃*𝑥⊥

Proof of Theorem mof

Step	Hyp	Ref	Expression
1		nextf 31575	. 2 ⊢ ¬ ∃𝑥⊥
2		exmo 2483	. 2 ⊢ (∃𝑥⊥ ∨ ∃*𝑥⊥)
3	1, 2	mtpor 1686	1 ⊢ ∃*𝑥⊥

Syntax hints:  ⊥wfal 1480  ∃wex 1695  ∃*wmo 2459

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713

This theorem depends on definitions:  df-bi 196  df-or 384  df-tru 1478  df-fal 1481  df-ex 1696  df-mo 2463

This theorem is referenced by:  amosym1  31595