Theorem nffal 1837

Description: The false constant has no free variables (see nftru 1836). (Contributed by BJ, 6-May-2019.)

Assertion

Ref	Expression
nffal	⊢ Ⅎ𝑥⊥

Proof of Theorem nffal

Step	Hyp	Ref	Expression
1		fal 1583	. 2 ⊢ ¬ ⊥
2	1	nfnth 1834	1 ⊢ Ⅎ𝑥⊥

This proof depends on syntax axioms:  ⊥wfal 1581  Ⅎwnf 1815

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  df-nf 1816

This theorem is used by: (None)