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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm4.64
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Theorem
pm4.64
Description:
Theorem *4.64 of
WhiteheadRussell
p. 120.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm4.64
⊢
¬
φ
→
ψ
↔
φ
∨
ψ
Proof
Step
Hyp
Ref
Expression
1
df-or
⊢
φ
∨
ψ
↔
¬
φ
→
ψ
2
1
bicomi
⊢
¬
φ
→
ψ
↔
φ
∨
ψ