Metamath Proof Explorer


Definition df-fal

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

Ref Expression
Assertion df-fal ⊢ ⊥ ↔ ¬ ⊤

Detailed syntax breakdown

Step Hyp Ref Expression
0 wfal wff ⊥
1 wtru wff ⊤
2 1 wn wff ¬ ⊤
3 0 2 wb wff ⊥ ↔ ¬ ⊤