Theorem nffal 1805

Description: The false constant has no free variables (see nftru 1804). (Contributed by BJ, 6-May-2019.)

Assertion

Ref	Expression
nffal	⊢ Ⅎ𝑥⊥

Proof of Theorem nffal

Step	Hyp	Ref	Expression
1		fal 1554	. 2 ⊢ ¬ ⊥
2	1	nfnth 1802	1 ⊢ Ⅎ𝑥⊥

Syntax hints:  ⊥wfal 1552  Ⅎwnf 1783

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 207  df-tru 1543  df-fal 1553  df-ex 1780  df-nf 1784

This theorem is referenced by: (None)