Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical negation
notnoti
Next ⟩
notnotd
Metamath Proof Explorer
Ascii
Structured
Theorem
notnoti
Description:
Inference associated with
notnot
.
(Contributed by
NM
, 27-Feb-2008)
Ref
Expression
Hypothesis
notnoti.1
⊢
𝜑
Assertion
notnoti
⊢
¬ ¬
𝜑
Proof
Step
Hyp
Ref
Expression
1
notnoti.1
⊢
𝜑
2
notnot
⊢
(
𝜑
→ ¬ ¬
𝜑
)
3
1
2
ax-mp
⊢
¬ ¬
𝜑