Metamath Proof Explorer


Theorem nffal

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

Ref Expression
Assertion nffal ⊢ Ⅎ x ⊥

Proof

Step Hyp Ref Expression
1 fal ⊢ ¬ ⊥
2 1 nfnth ⊢ Ⅎ x ⊥