df-fal - Metamath Proof Explorer

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Definition df-fal 1554

Description: Definition of the truth value "false", or "falsum", denoted by ⊥. See also df-tru 1544. (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 1553	. 2 wff ⊥
2		wtru 1542	. . 3 wff ⊤
3	2	wn 3	. 2 wff ¬ ⊤
4	1, 3	wb 206	1 wff (⊥ ↔ ¬ ⊤)

Colors of variables: wff setvar class

This definition is referenced by: fal 1555 nottru 1568 trunortru 1590 trunorfal 1591 empty 1907 bj-fal 36614 ralfal 45268