Theorem nextf 31575

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

Assertion

Ref	Expression
nextf	⊢ ¬ ∃𝑥⊥

Proof of Theorem nextf

Step	Hyp	Ref	Expression
1		fal 1482	. 2 ⊢ ¬ ⊥
2	1	nex 1722	1 ⊢ ¬ ∃𝑥⊥

Syntax hints:  ¬ wn 3  ⊥wfal 1480  ∃wex 1695

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-tru 1478  df-fal 1481  df-ex 1696

This theorem is referenced by:  unnf  31576  mof  31579