Theorem nexfal 33772

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 1550	. 2 ⊢ ¬ ⊥
2	1	nex 1800	1 ⊢ ¬ ∃𝑥⊥

Syntax hints:  ¬ wn 3  ⊥wfal 1548  ∃wex 1779

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795

This theorem depends on definitions:  df-bi 209  df-tru 1539  df-fal 1549  df-ex 1780

This theorem is referenced by:  neufal  33773  mofal  33776