Theorem nexfal 37317

Description: There does not exist a set such that ⊥ is true. (Contributed by Anthony Hart, 13-Sep-2011.)

Assertion

Ref	Expression
nexfal	⊢ ¬ ∃𝑥⊥

Proof of Theorem nexfal

Step	Hyp	Ref	Expression
1		fal 1583	. 2 ⊢ ¬ ⊥
2	1	nex 1832	1 ⊢ ¬ ∃𝑥⊥

This proof depends on syntax axioms:  ¬ wn 3  ⊥wfal 1581  ∃wex 1811

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1827

This proof depends on definitions:  df-bi 210  df-tru 1572  df-fal 1582  df-ex 1812

This theorem is used by:  neufal  37318  mofal  37321