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
1 wtru
2 1 wn ¬ ⊤
3 0 2 wb ( ⊥ ↔ ¬ ⊤ )