df-fal - Metamath Proof Explorer

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Definition df-fal 1583

Description: Definition of the truth value "false", or "falsum", denoted by ⊥. See also df-tru 1573. (Contributed by Anthony Hart, 22-Oct-2010.)

**Assertion**
Ref	Expression
df-fal	⊢ (⊥ ↔ ¬ ⊤)

**Detailed syntax breakdown of Definition df-fal**
Step	Hyp	Ref	Expression
1		wfal 1582	. 2 wff ⊥
2		wtru 1571	. . 3 wff ⊤
3	2	wn 3	. 2 wff ¬ ⊤
4	1, 3	wb 209	1 wff (⊥ ↔ ¬ ⊤)

Colors of variables: wff setvar class

This definition is used by: fal 1584 nottru 1597 trunortru 1619 trunorfal 1620 empty 1939 bj-fal 37254 bj-cbvaew 37359 ralfal 45978