Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Truth tables
Negation
nottru
Next ⟩
notfal
Metamath Proof Explorer
Ascii
Structured
Theorem
nottru
Description:
A
-.
identity.
(Contributed by
Anthony Hart
, 22-Oct-2010)
Ref
Expression
Assertion
nottru
⊢
( ¬ ⊤ ↔ ⊥ )
Proof
Step
Hyp
Ref
Expression
1
df-fal
⊢
( ⊥ ↔ ¬ ⊤ )
2
1
bicomi
⊢
( ¬ ⊤ ↔ ⊥ )