MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-fal Structured version   Visualization version   GIF version

Definition df-fal 1555
Description: Definition of the truth value "false", or "falsum", denoted by . See also df-tru 1545. (Contributed by Anthony Hart, 22-Oct-2010.)
Assertion
Ref Expression
df-fal (⊥ ↔ ¬ ⊤)

Detailed syntax breakdown of Definition df-fal
StepHypRef Expression
1 wfal 1554 . 2 wff
2 wtru 1543 . . 3 wff
32wn 3 . 2 wff ¬ ⊤
41, 3wb 209 1 wff (⊥ ↔ ¬ ⊤)
Colors of variables: wff setvar class
This definition is referenced by:  fal  1556  nottru  1569  trunortru  1591  trunorfal  1593  empty  1913  bj-fal  34406
  Copyright terms: Public domain W3C validator