df-fal - Metamath Proof Explorer

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Definition df-fal 1546

Description: Definition of the truth value "false", or "falsum", denoted by ⊥. See also df-tru 1536. (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 1545	. 2 wff ⊥
2		wtru 1534	. . 3 wff ⊤
3	2	wn 3	. 2 wff ¬ ⊤
4	1, 3	wb 205	1 wff (⊥ ↔ ¬ ⊤)

Colors of variables: wff setvar class

This definition is referenced by: fal 1547 nottru 1560 trunortru 1582 trunorfal 1583 empty 1901 bj-fal 35955 ralfal 44411