nffal - Metamath Proof Explorer

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Theorem nffal 1732

Description: The false constant has no free variables (see nftru 1730). (Contributed by BJ, 6-May-2019.)

**Assertion**
Ref	Expression
nffal

**Proof of Theorem nffal**
Step	Hyp	Ref	Expression
1		fal 1490	. 2
2	1	nfnth 1728	1

Colors of variables: wff setvar class

Syntax hints:

wfal 1488

wnf 1708

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722

This theorem depends on definitions: df-bi 197 df-or 385 df-tru 1486 df-fal 1489 df-ex 1705 df-nf 1710

This theorem is referenced by: (None)