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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm2.48
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pm2.49
Metamath Proof Explorer
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Theorem
pm2.48
Description:
Theorem *2.48 of
WhiteheadRussell
p. 107.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm2.48
⊢
¬
φ
∨
ψ
→
φ
∨
¬
ψ
Proof
Step
Hyp
Ref
Expression
1
pm2.46
⊢
¬
φ
∨
ψ
→
¬
ψ
2
1
olcd
⊢
¬
φ
∨
ψ
→
φ
∨
¬
ψ