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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm2.45
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pm2.46
Metamath Proof Explorer
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Unicode
Theorem
pm2.45
Description:
Theorem *2.45 of
WhiteheadRussell
p. 106.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm2.45
⊢
¬
φ
∨
ψ
→
¬
φ
Proof
Step
Hyp
Ref
Expression
1
orc
⊢
φ
→
φ
∨
ψ
2
1
con3i
⊢
¬
φ
∨
ψ
→
¬
φ