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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm2.13
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pm2.621
Metamath Proof Explorer
Ascii
Structured
Theorem
pm2.13
Description:
Theorem *2.13 of
WhiteheadRussell
p. 101.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm2.13
⊢
(
𝜑
∨ ¬ ¬ ¬
𝜑
)
Proof
Step
Hyp
Ref
Expression
1
notnot
⊢
( ¬
𝜑
→ ¬ ¬ ¬
𝜑
)
2
1
orri
⊢
(
𝜑
∨ ¬ ¬ ¬
𝜑
)