Theorem mofal 36024

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 36020	. 2 ⊢ ¬ ∃𝑥⊥
2		exmo 2530	. 2 ⊢ (∃𝑥⊥ ∨ ∃*𝑥⊥)
3	1, 2	mtpor 1764	1 ⊢ ∃*𝑥⊥

Syntax hints:  ⊥wfal 1545  ∃wex 1773  ∃*wmo 2526

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1905  ax-6 1963

This theorem depends on definitions:  df-bi 206  df-or 846  df-tru 1536  df-fal 1546  df-ex 1774  df-mo 2528

This theorem is referenced by:  nrmo  36025  amosym1  36041