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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm2.47
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pm2.48
Metamath Proof Explorer
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Theorem
pm2.47
Description:
Theorem *2.47 of
WhiteheadRussell
p. 107.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm2.47
⊢
¬
φ
∨
ψ
→
¬
φ
∨
ψ
Proof
Step
Hyp
Ref
Expression
1
pm2.45
⊢
¬
φ
∨
ψ
→
¬
φ
2
1
orcd
⊢
¬
φ
∨
ψ
→
¬
φ
∨
ψ